Posted by **Writeacher** on Friday, September 28, 2007 at 8:02am.

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. What are the values of m and n? Answer is: m = 2, n = -3

2. For what value[s] of k does the function f(x) = x^3 + 6x^2 + kx - 4 give the remainder when divided by either x - 1 or x +2? Answer: k = 3

3. When (x^2 + 5x + 7) is divided by (x+k), the remainder is 3. Determine k. Answer: k = 1 or k = 4

- Math - repost for Anonymous -
**drwls**, Friday, September 28, 2007 at 5:36pm
The text-only format of Jiskha makes it difficult and messy to illustrate the technigue you need to use, which is called polynomial long division. There is a shorthand form called synthetic division. I suggest you review both, using Google to search for sites that illustrate the methods. The method of solution will be to see what values of the constant(s) either result in no remainder or the specified remainder. If you had just posted one question, I'd be glad to work it through for you, but three is too many.

## Answer This Question

## Related Questions

- Math - Let V={f(x)=c0 + c1x + c2x2 : ç01 f(x)dx=1}. In other words, V is the ...
- To Linda >> Microeconomics - Linda, I've deleted your 15 multiple choice ...
- math, help - directions are: Factor each of the following polynomials completely...
- college-Linear Algebra - Let V={f(x)=c0 + c1x + c2x2 : ç01 f(x)dx=1}. In other ...
- Math - Determine the zeros of the function 3x^2 -8=10x. I know I rewrite it as ...
- math - A multiple-choice test has 10 questions. Each question has 5 choices. If ...
- correct , math - Directions: Facotor each of the following polynomials ...
- Social studies? - Please ignore my previous post. I prematurely hit the enter ...
- Confused: CRT205 - I've removed your post in which you copied an essay and some ...
- Chemistry -repost thank you in advance - I have a bottle of 95% ethanol ...

More Related Questions