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.

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# Division with polynomials involving the remainder theorem

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