# Find the least positive integer that leaves the remainder 3 when divided by 7, remainder 4 when divided by 9, and remainder 8 when divided by 11

104,372 results
1. ## Math

When 17 is divided by k,where k is a positive integer less than 17,,the remainder is 3.What is the remainder when the sum of the possible values of k is divided by 17?

asked by Bob on August 13, 2012
2. ## math

The polynomial P(x)=x3−4x2−5x−42 can be rewritten as P(x)=(x−6)(x2+2x+7). What can you conclude about P(x)? There may be more than one correct answer. Select all correct answers. When P(x) is divided by x−6, the remainder is x2+2x+7. No factors

asked by are on March 26, 2020
3. ## math

When m is divided by 7, the remainder is 2. What is the remainder when 4m is divided by 7? Please give me an explanation and not just the answer! Thankss:)

asked by Jennifer on July 20, 2011
4. ## Maths

When the Polynomial p(x)=ax^3+5x^2+bx-2 where a and b are constants is divided by 2x^2+3x-2, the remainder is 9x-6. (I) Find the values of a and b (II) Using these values of a and b, factorize p(x) completely (III) Find the remainder when p(x) is divided

asked by Ande2 on May 6, 2019
5. ## discrete math

let d be a positive integer. Show that among any group of d+19not necessarily consecutive) integers there are two with exactly the same remainder when they are divided by d. The possible values of the remainders are 0, 1, 2, ...d-1. So there are a total of

asked by thisha on November 29, 2006
6. ## Mathematics

Find the greatest number which when divided into 1250 and 1000 leaves a remainder of 26 and 28 respectively.

asked by Ashley on September 30, 2009
7. ## algebra!

How many positive integers, a, are there such that 2027 divided by a leaves a remainder of 7?

asked by SOMEONE HELP ME!! on March 11, 2013

Use the Remainder Theorem to find the remainder when P(x)=x^4-9x^3-5x^2-3x+4 is divided by x+3. How do I do this?

asked by Olivia N J on November 23, 2016
9. ## Math

If a positive two-digit integer is divided by the sum of its digits, the quotient is 2 with a remainder of 2. What is the two-digit integer?

asked by Clary on January 8, 2017
10. ## math

Use polynomial long division to find the quotient and the remainder when 2x 3 +x 2 +3x−1 is divided by x+4 . Also, check your answer by showing that 2x 3 +x 2 +3x−1 is equal to x+4 times the quotient, plus the remainder. B. dividend = quotient x

asked by Anonymous on October 30, 2015
11. ## Math

When 31513 and 34369 are divided by a certain three digit no. the remainder are equal. Find this remainder.

asked by Aakash on June 27, 2018
12. ## @Peter, earlier question

Peter, I found your question interesting and have been messing with it for a while www.jiskha.com/questions/1789041/Ethel-went-to-the-farmers-market-to-buy-some-eggs-not-in-a-dozen-cartons-on-the I finally made up a short computer program using a silly old

asked by Reiny on March 19, 2019
13. ## Math

If a positive two-digit integer is divided by the sum of its digits, the quotient is 2 with a remainder of 2. If the same two-digit integer is multiplied by the sum of its digits, the product is 112. What is the two-digit integer?

asked by Kinnari on January 9, 2011
14. ## Math

Find the largest positive integer that leaves the same remainder when divided into each of 889, 961, 1009, and 1189

asked by Krystal on February 7, 2014
15. ## Maths

Hi, What is the lowest positive integer greater than 1, which when divided by 5 or 8 leaves a remainder of 1 Thanks

asked by Suhas on February 23, 2015
16. ## Algebra

If p(x) is a polynomial and is divided by (x-k) and a remainder is obtained, then that remainder is p(k). If the quadratic p(x)=x^2-3x+5 gives the same remainder when divided by x+k as it does when divided by x-3k find the value of k, k is not equal to 0.

asked by Nick on August 2, 2014
17. ## math

How many positive integers, a, are there such that 2027 divided by a leaves a remainder of 7?

asked by ayan on March 15, 2013
18. ## Algebra

This problem has two parts, Part A and Part B. Part A: Use the Remainder Theorem to find the remainder when p(x)=x^3+4x^2+5x+2 is divided by x+1. Part B: Then, use the Factor Theorem to determine whether x+1 is a factor of p(x)=x^3+4x^2+5x+2. Select one

asked by NiNi on March 12, 2020
19. ## algebra

use the remainder theorem to find the remainder when P(x)=x^4-9x^3-5x^2-3x+4 is divided by x+3

asked by jay on November 12, 2012
20. ## Alegebra

N is the number of buttons in a sewing box. N is more than 40 but less than 80. When N is divided by 5 , the remainder is 2. When N is divided by 7, the remainder is 4. What is the value of N?

asked by ALLY on June 26, 2012
21. ## Math

How many integers between 200 and 500 inclusive leave a remainder 1 when divided by 7 and a remainder 3 when divided by 4? Find the smallest positive integer that leaves a remainder 5 when divided by 7, a remainder 6 when divided by 11, and a remainder 4

asked by Jimmy on October 19, 2012
22. ## Math

Find the largest positive integer that leaves the same remainder when divided into each of 889, 961, 1009, and 1189

asked by Krystal on February 7, 2014
23. ## math

When a positive integer, n, is divided by 24 the remainder is 18. When n is divided by 8 the remainder is: A.0 B.1 C.2 D.4 E.6 I tried doing n/24=18 and I got 432 and when I divided it by 8 I got 54; am I misinterpreting the question? I really see no other

asked by Lucille on November 13, 2007

An unknown polynomial f(x) of degree 37 yields a remainder of 1 when divided by x – 1, a remainder of 3 when divided by x – 3, a remainder of 21 when divided by x – 5. Find the remainder when f(x) is divided by (x – 1)(x – 3)(x – 5).

asked by Anonymous on October 4, 2016

This problem from China is almost 2000 years old: Find a number that when divided by 3 gives a remainder of 2, when divided by 5 gives a remainder of 3, and when divided by 7 gives a remainder of 4. 1

asked by Anonymous on June 18, 2012

an unknown polynomial f(x) of degree 32 yields a remainder of 1 when divided by x-1 and a remainder of 3 when divided by x-3, find the remainder when f(x) is divided by (x-1)(x-3). What is the answer? and i was wondering if the part about the polynomial

asked by AA on October 4, 2016
27. ## Polynomials

The polynomial P(x)=ax^3+bx^2+cx+d leaves a remainder of 10x+11 when it is divided by x^2−1. It leaves a remainder of −6 when it is divided by x^2+x+1. What is the value of bc−ad

asked by Tony on May 24, 2013
28. ## maths

What is the smallest positive integer which gives 1 as a remainder when divided by the numbers 2,3,4,5,6

asked by sophie on October 20, 2018

use the remainder theorem to find the remainder when f(x) is divided by x-2. then use the factor theorem to divide x-2 is a factor of f(x). f(x)=4x^4-7x^3-5x+2 the remainder is ? is x-2 a remainder of f(x)=4x^4-7x^3-5x+2 please show work

30. ## maths

A number on being divided by 10 and 11 successively leaves the remainders 5 and 7. Find the number. ie, x/10 = remainder 5 and x/11 = remainder 7. please help me to find the value of x.

asked by kumar on August 22, 2016
31. ## math

1)The function f is defined by the equation f(x)+ x-x^2. Which of the following represents a quadratic with no real zeros? A)f(x) +1/2 B)f(x)-1/2 C)f(x/2) D)f(x-1/2) 2) If I^(2k) = 1, and i = radical -1, which of the following must be true about k? A) k is

asked by Aline on March 2, 2018
32. ## math

When a is divided by 7,the remainder is 4.When b is divided by 3,the remainder is 2.If 0

asked by Thomas on May 30, 2014
33. ## Math

How many integers bewteen 200 and 500 inclusive leave a remainder 1 when divided by 7 and a remainder 3 when divided by 4? Find the smallest positive integer that leaves a remainder 5 when divided by 7, a remainder 6 when divided by 11, and a remainder 4

asked by Annie on October 13, 2012
34. ## Math

Find the least positive integer that leaves the remainder 3 when divided by 7, remainder 4 when divided by 9, and remainder 8 when divided by 11. Using the Chinese Remainder Theorem.

asked by Shaakira on August 1, 2012
35. ## Math

Find the smallest positive integer that leaves a remainder of 5 when divided by 7, a remainder of 6 when divided by 11, and a remainder of 4 when divided by 13.

36. ## number theory

Find the least positive integer that leaves the remainder 3 when divided by 7, remainder 4 when divided by 9, and remainder 8 when divided by 11

asked by john on August 1, 2012
37. ## math

what is the least common positive integer that meets the following conditions: divided by 7 with remainder 4 divided by 8 with remainder 5 divided by 9 with remainder 6 i thought you could add 7 and 4 to get 13, then divide 13 and 7 with r=4, but it has to

asked by amanda on February 22, 2009
38. ## math

what is the least common positive integer that meets the following conditions: divided by 7 with remainder 4 divided by 8 with remainder 5 divided by 9 with remainder 6 i thought you could add 7 and 4 to get 13, then divide 13 and 7 with r=4, but it has to

asked by amanda on February 19, 2009
39. ## Algebra 2

Find a positive integer smaller than 500 that has a remainder of 3 when divided by 5, a remainder of 6 when divided by 9, and a remainder of 8 when divided by 11.

asked by Kim on November 21, 2009
40. ## math

1.) when the expression 4x^2-3x-8 is divided by x-a, the remainder is 2. find the value of a. 2.) the polynomial 3x^3+mx^2+nx+5 leaves a remainder of 128 when divided by x-3 and a remainder of 4 when divided by x+1. calculate the remainder when the

asked by Nialleen on August 4, 2014
41. ## maths

If the integer N leaves a remainder of 1234 when divided by 2013, what is the remainder when N is divided by 183?

asked by ashu on August 21, 2013
42. ## math

What is the lowest numberthat has a remainder of 1 when divided by 2 and a remainder of 2 when devided by 3 and a remainder of 3 when divided by 4 and a remainder of 4 when divided by 5? The answer is 59. There is a general method for solving such problms,

asked by jamie on June 7, 2007
43. ## Maths

What is the smallest possible positive integer x>5 , that leaves a remainder of 5 whenever it is divided by 14 , 8 or 77 ?

asked by KK on August 1, 2013
44. ## Algebra

What is the smallest possible positive integer x>5 , that leaves a remainder of 5 whenever it is divided by 14 , 8 or 77 ?

asked by Tony on May 4, 2013
45. ## math

Let f(x)=2x2+40x+25. Given that f(x) leaves the same remainder when divided by x−a as when divided by x+2a for a positive integer a, what is the value of a?

asked by ayan on April 5, 2013
46. ## Math algebra

I'm reposting this, because Mathmate's answer hasn't directed me to the WHY? part of the question. Any prompts appreciated. The product of any two (whole) numbers each of which leave a remainder of 1 on dividing by 7, also leaves a remainder of 1 on

asked by charlie on May 3, 2010
47. ## Maths

Let f(x)=2x^2+40x+25. Given that f(x) leaves the same remainder when divided by x−a as when divided by x+2a for a positive integer a, what is the value of a?

asked by Oian on April 5, 2013
48. ## Math

When 14 is divided by 5, the remainder is 4. When 14 is divided by a positive integer n, the remainder is 2. For how many different values of n is this possible. Is listing it out the only way?

asked by Mary on December 13, 2013
49. ## Math - repost for Anonymous

Can someone show me the steps to these questions (I will provide the correct answers)? Thanks in advance. 1. When the polynomials 4x^3 + mx^2 + nx + 11 is divided by x + 2, the remainder is -7. When the polynomial is divided by x - 1, the remainder is 14.

asked by Writeacher on September 28, 2007
50. ## math

You are given a positive integer such that when the integer is divided by 1995, the remainder is 75. What will the remainder be when the same positive integer is divided by 57?

asked by hee on November 17, 2011
51. ## Math - Factoring

When a positive integer z is divided by 9, the remainder is 2. what is the remainder when 4z is divided by 6?

asked by Venus on September 13, 2013
52. ## Math

What is the smallest number which when divided by 10 leaves a remainder of 9, when divided by 9 leaves a remainder of 8, when divided by 8 leaves a remainder of 7 & so on until when divided by 2 leaves a remainder of 1?

asked by Joe on September 16, 2008
53. ## Math

This problem from China is almost 2000 years old: Find a number that when divided by 3 gives a remainder of 2, when divided by 5 gives a remainder of 3, and when divided by 7 gives a remainder of 4.

asked by Ashley on April 2, 2014
54. ## math

This problem from China is almost 2000 years old: Find a number that when divided by 3 gives a remainder of 1, when divided by 5 gives a remainder of 4, and when divided by 7 gives a remainder of 2.

asked by Christina on October 9, 2012
55. ## Mathematics

For what values of m and n Does the expression ( mx^4 + nx^3 + 14x^2 + 9x + 2) divided by ( x^2 + 3x + 1 ) leaves a remainder , (-11x - 4 ) .. ? I divided it , nut the whole m and n remainder thingy made me so confused !!!

asked by Mihir Sriram on March 18, 2013
56. ## maths

f(x)=px^3 + 6x^2 + 12x + q given that the remainder when f(x) is divided by (x - 1) is equal to the remainder when f(x) is divided by (2x + 1), (a) find the value of p. given also that q = 3, and p has the value found in part (a) (b) find the value of the

asked by peter on March 3, 2012
57. ## MATH

What is the smallest integer greater than 5 that leaves a remainder of 5 when divided by any of the integers 6,8, and 10?

asked by Anonymous on September 28, 2013
58. ## Math - Number Properties

What is the smallest integer greater than 5 that leaves a remainder of 5 when divided by any of the integers 6,8, and 10?

asked by Venus on September 10, 2013
59. ## MATHS

A number has 3 digits. When it is divided by 6 or 7, it leaves a remainder of 1. When it is divided by 8 or 11, it leaves 2 remainder of 7. What is the largest such number? The answer given is 799

asked by PETER on December 1, 2013
60. ## Number and Operations

when 20 is divided by a positive integer n, the remainder is 2. how many possible values are there for n?

asked by Anonymous on July 9, 2013
61. ## math

What is the smallest positive integer which, when divided by 6 gives remainder 1 and when divided by 11 gives remaider 6.

asked by Mika on November 8, 2016
62. ## Use the remainder theorem

Use the remainder theorem to find the remainder when f(x) is divided by x+2 whether x+2 is a factor of f(x) f(x)=2x^6-8x^4+x^2-5 Remainder is=

asked by Alley on March 28, 2013
63. ## algebra

A polynomial f(x) of degree 3 leaves a remainder of 6 when divided by (x+1) and a remainder of 12 when divided by (x-2). Given that the coefficient of x^3 is 2 and (x+2) is the factor of the polynomial. Show that f(x)= 2x^3+3x^2-5x+2

asked by Everett on June 8, 2013
64. ## PreCalc

When the polynomial p(x) is divided by (x–2), the remainder is 3 and when p(x) is divided by (x+1) the remainder is 9. Given that p(x) may be written in the form (x–2)(x+1)q(x) + Ax + B where q(x) is a polynomial and A and B are numbers, find the

asked by Anthony on December 2, 2017
65. ## Math

What is the smallest positive 3 digit number that leaves a remainder of 2 when divided by 3, 4, 5 or 6?

asked by John T. on June 12, 2013
66. ## help? math ?

1. when z is divided by 8, the remainder is 5. What is the remainder when 4z is divided by 8 ? 2. If n is an integer, which of the following must be odd ? A. 3n-5 B. 3n + 4 C. 4n + 10 D. 4n - 5 E. 5n + 7

asked by gary on January 27, 2013
67. ## math

1. when z is divided by 8, the remainder is 5. What is the remainder when 4z is divided by 8 ? 2. If n is an integer, which of the following must be odd ? A. 3n-5 B. 3n + 4 C. 4n + 10 D. 4n - 5 E. 5n + 7

asked by gary on January 27, 2013
68. ## math

1. when z is divided by 8, the remainder is 5. What is the remainder when 4z is divided by 8 ? 2. If n is an integer, which of the following must be odd ? A. 3n-5 B. 3n + 4 C. 4n + 10 D. 4n - 5 E. 5n + 7

asked by gary on January 27, 2013
69. ## maths

The remainder when the polynomial f(x)=2x3+px2+qx+18 is divided by (x-1) is 10, when is divided by (x+1) the remainder is 12, find (a) The values of p and q (b) The zeros of f(x)

asked by Ande2 on October 7, 2018
70. ## Maths

The remainder when the polynomial f(x)=2x3+px2+qx+18 is divided by (x-1) is 10, when it is divided by (x+1) the remainder is R find (1) The values of p and q (2) The zeros of f(x)

asked by Ande2 on October 7, 2018
71. ## functions

If f(x)=6x^3 - ax^2 + bx + c when a, b and c are constant when f(x) is divided by x^2 - 4 the remainder is 23x - 26. When f(x) divided by (x +3) the remainder is -220. Find: (A) the value of a, b and c (B) the solution of the equation f (x)=0

asked by somay on May 9, 2016
72. ## math

If f(x)=6x^3 - ax^2 + bx + c when a, b and c are constant when f(x) is divided by x^2 - 4 the remainder is 23x - 26. When f(x) divided by (x + 3) the remainder is -220. Find: (A) the value of a, b and c (B) the solution of the equation f(x)=0

asked by somay on May 5, 2016
73. ## Algebra

If a positive two-digit integer is divided by the sum of its digits, the quotient is 2 with a remainder of 2. What is the two-digit integer?

asked by Isabelle on January 8, 2017
74. ## math proportions

The remainder is a fraction (remainder/divisor). Why don't you use a calculator...for instance, 31/7 is 4 r 3, but it is easy enought to just put 31 divide by 7 in the calc. I have to solve a proportion, and the answer I come up with has a remainder. I

asked by bobpursley on March 13, 2007
75. ## math

1. A number leaves remainder 6 when divided by 10. What is the remainder when the number is divided by 5? Justify your reasoning.

asked by len on September 8, 2010
76. ## college algeb

when ax^2+bx+c is divided by x-1, the remainder is 10 if the same poly. is divided by x+2 the remainder is 1. x+1 is a factor of the polynomial. Find a,b, and c.

asked by rock on July 20, 2011
77. ## Polynomials

Let f(x) = ax^3 + bx^2 + 3x – 4. If f(x) is divided by (x – 2), the remainder is 2. When it is divided by (x – 1), the remainder is -2. Find a and b. (4 marks) Please help, I understand what to do when there's only 2 variables but not with 3. Thank

asked by Anonymous on January 8, 2013

Checking to make sure I did it right.. Remainder theorem to find the remainder when f(x) is divided by the given x-k f(x)=x^3-4x^2+2x+4; x+2 2 x -4 2 4 1 2 -4 4 1 -2 -2 8 2)x^3-4x^2+2x+4. (X^3-2x^2-2x) is the answer x^3 -2x^2+-2x -2x^2+4x 6x+4 -2x+4 8x+8

asked by Anonymous on March 20, 2013
79. ## Math

use the remainder theorem to find the remainder when P(x) = x^4-9x^3-5x^2-3x+4 is divided by x + 3 please help me start this problem I have no idea

asked by Tyler on February 21, 2017
80. ## math

A polynomial P(x) has remainder R x +S on division by (x-a) (x-b). If a is not equal to b, express the constants R and S in terms of a, b, P(a), P(b). Find the remainder when P(x) is divided by (x-a)^2.

asked by youngguru on March 16, 2017
81. ## Help Polynomial

A polynomial P(x) has remainder R x +S on division by (x-a) (x-b). If a is not equal to b, express the constants R and S in terms of a, b, P(a), P(b). Find the remainder when P(x) is divided by (x-a)^2.

asked by youngguru on March 17, 2017
82. ## Remainder Theorem

Use the remainder theorem to: find the remainder when f(x) is divided by x – c, and determine whether x – c is a factor of f(x). f(x) = x^4 - 8x^3 + 9x^2 - 69x + 24 ; x - 8 Please show all of your work.

asked by Armando on May 29, 2011
83. ## algebra

Find an integer value of x such that when 3x−39 is divided by 2x, the quotient is 1 and the remainder is 50.

asked by dark rider on February 25, 2013
84. ## algebra

Find an integer value of x such that when 3x−39 is divided by 2x, the quotient is 1 and the remainder is 50.

85. ## algebra

Find an integer value of x such that when 3x−39 is divided by 2x, the quotient is 1 and the remainder is 50.

asked by i could not do it can u?? on February 25, 2013
86. ## Math

Can anyone start me off on these questions? Thanks! When ax^3 - x^2 + 2x + b is divided by x-1 the remainder is 10. When it is divided by x-2 the remainder is 51. Find a and b. The volume of a box V(x) = x^3 - 15x^2 + 66x - 80. Determine expressions for

asked by Alex on January 8, 2008
87. ## math

I have this question to work on, and I don't know where to start investigating the answer: The product of any two (whole) numbers each of which leave a remainder of 1 on dividing by 7, also leaves a remainder of 1 on dividing by 7. Why? I THINK that I can

asked by charlie on May 2, 2010
88. ## Math

Which number is equivalent to 14/4? A 3.2 , because 14 divided by 4 is 3 with a remainder of 2 B 3.5 because 14 divided by 4 is 3 with a remainder of 2 and 2/4 = 0.5 C 3.3 because 14 divided by 4 is 3 with a remainder of 3 D 3.6 because 14 divided by 4 is

asked by Iris on December 8, 2015
89. ## Algebra 2

Need help on the #13-20. 13. What is the quotient of d − 2 ) d 4 − 6d 3 + d + 17 __________________ ? A. d 3 − 4d 2 − 8d − 15 R −13 B. d 3 − 8d 2 + 16d − 31 R 79 C. d 3 − 4d 2 + 9d + 35 D. d 3 − 8d 2 + 17d − 17 14. What is the sum of

asked by Emily on December 6, 2010
90. ## math

Each dividend was divided by another polynomial, resulting in the given quotient and remainder. Find the divisor Divided:5x^3+x^2+3 ,quotient:5x^2-14x+42, remainder:-123

asked by Melissa on September 28, 2012
91. ## Algebra

use remainder theorem to find the remainder when f(x)) is divided by x+1 f(x)=x^4+8x^3+12x^2

asked by Stone on November 12, 2013
92. ## Remainder Theorem Help

Use the remainder theorem to find the remainder when P(x) = x^3-2ax^2+1 is divided by x-a-1.

asked by Helena on May 16, 2017
93. ## Math

The expression ax^2 + bx + c is divisible exactly by (x - 1), has a remainder of 2 when it is divided by (x + 1), and has a remainder of 6 when it is divided by (x - 2). Find a, b and c?

asked by Christopher on January 7, 2016
94. ## Maths

3 2 If 3x+ax+bx+4 has x+1 as factor and leaves remainder 2 when divided by x-1, find the value of a and b.

asked by Anupam khatiwara on July 29, 2012

The sequence {ak}112 (base)k=1 satisfies a1=1 and an=1337+n/an−1, for all positive integers n. Let S=⌊a10a13+a11a14+a12a15+⋯+a109a112⌋. Find the remainder when S is divided by 1000. Details and assumptions The function ⌊x⌋:R→Z refers to the

asked by Mathslover on May 24, 2013
96. ## MATH

Find the smallest possible integer when divided by either 3,4 or 5 with a remainder of 2. Don't understand!!

asked by MATHMAN on November 6, 2015
97. ## maths

find the least number which when divided by 12,16,24,and 36 leaves a remainder 7 in each case.

asked by mili on June 3, 2017
98. ## maths

ifx^3+mx^2+nx+6 has x-2 as a factor and leaves remainder 3 when divided by x-3, find the values of m and n.

asked by kusum on August 4, 2011
99. ## Math

How many counting numbers less than 100 have an EVEN remainder when divided by 5 and an ODD remainder when divided by 7?

asked by PT on January 14, 2019
100. ## Maths

If the polynomial f (×)=ax^2+13×+b and g (×)=4×^2+px+a are divided by x-1 the remainder are 12 and 6 respectively.If they are divided by ×-2 the remainder are 40 and 20 respectively.find the values of the constants a,b,p and a.hence determine the

asked by Lawal on October 23, 2017