# calculus-can someone please help me with this ques

posted by .

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 determine whether x-3 is a factor of f(x)
f(x)=2x^4-8x^3+14x+12

the remainder is ?
is x-3 a factor of f(x)=2x^4-8x^3+14x+12
**please show work here as well. Thanks**

• calculus-can someone please help me with this ques -

1.
you know that any rational roots will be factors of 35

a little synthetic division shows that
f(x) = (x+5)(x+7)(x^2-x+1)
the quadratic has no real roots

2.
the remainder is f(3). Naturally, if the remainder is zero, (x-3) is a factor.
f(3) = 2*81-8*27+14*3+12=0

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### the remainder theorem - Please Help!!

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?
2. ### math

I HAVE THESE ANSWERS FOR THE PROBLEMS. COULD YOU DOUBLE CHECK PLEASE, THIS IS A PRACTICE QUIZ WHICH ISN'T A GRADE IT JUST HELPS ME GET READY FOR THE TEST. 1) a 2) b 3) d 4) a 5) d 1. Solve x^3 + 6x^2 + 13x + 10 = 0. a) –2 + 2i, –2 …
3. ### 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.
4. ### Math - Real number system

Solve the following equation in the real number system. Please show all of your work. x^4 + 6x^3 + x^2 - 24x - 20 = 0 Help!!!!
5. ### 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
6. ### college algebra--need help please!!

solve the equation in the real number system. 2x^4-23x^3+75x^2-88x+28=0 What are the real solutions of the equations?
7. ### college algebra, Please help!!

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 ?
8. ### calculus

Solve the equation in the real number system X^4+11x^3+24x^2-23x+35=0 Please show work
9. ### 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
10. ### 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

More Similar Questions