# college math

posted by .

Find the value of k so that the polynomial

Q(x)= x^3 - k^2x^2 + k(5x-9)- 12

has a remainder of 1 when divided by x + 2

• college math -

If you studied the remainder theorem then you know that
Q(-2) = 1

-8 - 4k^2 + k(-19) - 12 = 1

arrange as a standard quadratic and solve for k

## Similar Questions

1. ### Math - repost for Anonymous

Can someone show me the steps to these questions (I will provide the correct answers)?
2. ### 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.
3. ### 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) …
4. ### 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?
5. ### 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?
6. ### Math ( Polynomial )

If the polynomial, x^4 - 6x^3 + 16x^2 - 25x + 10 is divided by another polynomial x^2 - 2x + k, the remainder comes out to be x + a, find k + a, please work the complete solution instead of giving simply an answer.
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 …
8. ### 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 …