Two questions, first, I solved something, but I was just playing around with the numbers, and I didn't really know what I was doing, nor did I really understand it after I was done. The question is as follows:(adsbygoogle = window.adsbygoogle || []).push({});

When x + 2 is divided into f(x), the remainder is 3. Determine the remainder when x + 2 is divided into each of the following:

a) f(x) + 1

b) f(x) + x + 2

I'm only going to use a few of the questions here, just for simplicity. I know how to solve them, because I checked my answers in the back of the book. I just don't really understand why this works out the way it does.

Secondly, something I really have no clue about, at all. The question is as follows:

If f(x) = mx^3 + gx^2 - x + 3 is divided by x + 1, the remainder is 3. If f(x) is divided by x + 2, the remainder is -7. What are the valuse of m and g?

I really don't know what to do, I even wondered if both pieces of information were necessary. I thought that I'd ismplify one, and then rearrenage to solve for either mor g, in terms of the other one, but it didn't work, or maybe I just didn't do it right.

Please someone help me out.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Division with polynomials involving the remainder theorem

**Physics Forums | Science Articles, Homework Help, Discussion**