# 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

103,562 results
1. ## 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

2. ## 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

3. ## Math

Find the remainder when (19)^92 is divided by 92.

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

5. ## 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?

6. ## maths

Given that f(x) =x^3-kx^2-2x+1 gives a remainder k when divided by x-k,find the value of k

7. ## 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.

8. ## college algebra

use the remainder theorem to find the remainder when f(x) is divided by x-2. Then use the factor theorem to determine whether x-2 is a factor of f(x). f(x)=4x^3-10x^2+13x-13

9. ## 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:)

10. ## 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

11. ## college algebra

use the remainder theorem to find the remainder when f(x) is divided by x+2. then use the factor theorem to determine whether x+2 is a factor of f(x). f(x)=4x^6+36x^3+32 please show work

12. ## 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?

13. ## Estimation decimal quotient

Use compatible numbers to find the each quotient ,2.90 divided by 29,48 divided by 3.2, 0.18 divided by 0.33,152 divided by 5.12,41.9 divided by 19,33.90 divided by 10.2, 502 divided by 9.5, 180.8 divided by 6 , 48 divided by 3.33, 0.65 divided by 5.1,18.2

14. ## 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

15. ## Math

when z is divided by 8, the remainder is 5. What is the remainder when 4z is divided by 8. Can you please explain this to me step by step? I'm having difficulty understanding why the answer is 4

16. ## Using the remainder

use the remainder theorem to find the remainder when f(x) is divided by x - 3. Then use the factor theorem to determine whether x-3 is a factor of f(x) f(x)=2x^3-10x^2+11x+12

17. ## 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

18. ## math

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

19. ## 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.

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?

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?

22. ## Mathematics

A number , when divided by 552 gives a remainder 53. When it is divided by 23 , the remainder will be Options: A.0. B.6. C.2. D.8.

23. ## 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

24. ## 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

25. ## math

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.

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).

i'm really not sure how to do this question. (3x+2k)^3+(4x-7)^2 has a remainder of 33 when divided by x-3. find k. i tried to expand the expression, but i don't get a polynomial, so how do i apply the remainder theorem? i would really appreciate it if

28. ## 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

29. ## Math

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

30. ## math

(1) 9.6 dividedby 1.2=8 (2) 57.8 divided by 3.4= 17 (3) 2.3 divided by 21.643= 941 (4) 0.51 dividd by 0.459= 9 (5) 0.16 divided by 3.8= 23 remainder 12 (6) 0.78 divided by 15.6= (7) 0.048 dividedby 7.2=150.0 help Ms. Sue

31. ## Math

If the larger of two numbers is divided by the smaller, the quotient and the remainder are 2 each. If 5 times the smaller number is divided by the larger, the quotient and the remainder are still 2 each. find the two numbers.

32. ## 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

33. ## 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.

34. ## 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 !!!

35. ## 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.

36. ## 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.

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

38. ## 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.

39. ## 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

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

41. ## 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

42. ## 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

43. ## 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

44. ## 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)

45. ## 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)

46. ## 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.

47. ## 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=

48. ## 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

49. ## 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

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

51. ## Remainder Theorem

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)

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

53. ## Math

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

54. ## 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

55. ## 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.

56. ## 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.

57. ## maths

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

58. ## Algebra

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

59. ## 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

60. ## 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?

61. ## 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

62. ## math 7

When 3n is divided by 7 the remainder is 4. What is the remainder when when 2n is divided by 7? (With solution pls...) tnx

63. ## math

When y is divided by 6, the remainder is 4. What will be the remainder if y-6 is divided by 3 ? a. 0 b. 1 c. 2 d. 3 e. 4 my answer is b. 1 , but teacher give me the answer is d. 3 , I don't understand, anyone can explain

64. ## 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

65. ## math

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.

66. ## math

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.

67. ## maths

when the polynomial is divided by x+1 and x+2, the reminders are -7 and -25 respectively. Find the remainder when P(x) is divided by (x+1)(x+2)

68. ## Math - Factorising

Find the quotient and the remainder in the following. a). x^4 + 3x^3 + 5x^2 - 6x - 8 is divided by x + 2 b). 2x^4 - 3x^3 + 6x^2 - 5x - 4 is divided by 2x - 3 Please help, this is urgent. Thanks.

69. ## Pre Calculus

mx3-nx2+5x-1 is divided by x-2 the remainder is -39. When divided by x-1 the remainder is 3. What are the values of m and n. Didn't know how to do the superscript for mx3

70. ## 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

71. ## 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

72. ## 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

73. ## 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?

74. ## Math

When f(x)is divided by x-1 and x+2,the remainders are 4 and -2 respectively . Hence find the remainder when f(x)is divided by x^2+x-2 .

75. ## 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.

76. ## precalculus

use remainder therem to find the remainder when f(x) is divided by x+2 then use factor to determine whether x +2 is a factor f(x) = x^6 + 2x^5 + 3x^2 - 2x - 16

77. ## 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.

78. ## Math

Simplify each expression and state any non-permissible values. (4 marks - show your work) 4x-1 divided by x^2+7x+12 divided by 2x-1 divided by x^2 +x- 12 is the expression Help me please and thank you.

79. ## math

When a number is divided by 42 the remainder is 39 and when it is divided by 36 the remainder is 33.find the number.

80. ## Math

Polynomial f(x) has a remainder of 3 when divided by x-2 and a remainder of -5 when it is divided by x+2. Determine the remainder when the polynomial is divided by x^2-4.

I have two questions if someone can PLEASE help. 1.solve the equation in the real number system. x^4+11x^3+24x^2-23x+35=0 **Please show work** 2.Use the remainder theorem to find the remainder. When f(x)is divided by x-3. Then use the factor theorem to

82. ## Math

Remainder Theorem Question: For what value of b will the polynomial P(x) = 4x^3-3x^2+bx+6 have the same remainder when it is divided by x-1 and by x+3

83. ## Math

what is a number that divied by 3 has a remainder of 2 also that smae number divided by 4 has a remainder 3 and that same number divided by 5 has a remainder of 4

84. ## 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

85. ## Algebra ll

Please help!! I do not understand any of this!! Use the remainder theorem to find the remainder when f(x) is divided by x+4. Then use the factor theorem to determine whether x+4 is a factor of f(x). f(x)=4x^6-64x^4+x^2-18

86. ## 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

87. ## 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.

88. ## 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.

89. ## 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,

90. ## 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

91. ## 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

92. ## math...up for a challenge?

given that (x+2)s a factor of 2x^3+ 6x^2 + bx - 5 find the remainder when the expression is divided by (2x - 1) Well let's factor it then to get (x+2)(2x^2 + 2x - 5/2) I'll let you figure out b and then do the division to find the remainder.

93. ## 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

94. ## 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.

95. ## Maths

When a certain number N is divided by d, the remainder is 7. If the original number N is multiplied by 5 and then divided by d, the remainder is 10. Find d.

96. ## math

a number between 1 and 100. If it is divided by 3 or 5, remainder is 1. If it is divided by 7, there is no remainder: what is my member?

97. ## Math

Find the smallest postive integre that gives a remander of 2 when divided by either 3 0r 7, and gives a remainder of 3 when divided by 5.

98. ## 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?

99. ## math

my daughter needs help finding a mystery number. 1)when the mystery number is divided by 3,there is a remainder of 1. but it has to be the same thing over again with 4 remainder 2 and 5 remainder 4.And there is one more what is the smallest number that

100. ## Math

592 divided by 48 = 107 divided by 19 = Try using long division and expressing the remainder as a fraction. Do you have a hand calculator? 592 divided by 48 = 12 1/3 107 divided by 19 = 5 12/19 592 divided by 48 = 12.3 107 divided by 19 = 5.6