Polynomial division with remainders, could someone help, please?

Let f(x) = x^4+px^3+qx+5, where p, q are constants. The remainder when f(x) is divided by (x+1) is 7, and the remainder when f(x) is divided by (x-2) is 1. Find the value of p and the value of q.

Could someone solve it, please? I've been stuck on this problem for over two hours...

Re: Polynomial division with remainders, could someone help, please?

The remainder when a polynomial $f(x)$ is divided by $x+1$ is $7$ means

$$f(-1)=7$$

Re: Polynomial division with remainders, could someone help, please?

Re: Polynomial division with remainders, could someone help, please?

Quote:

Originally Posted by

**ruby9099** Let f(x) = x^4+px^3+qx+5, where p, q are constants. The remainder when f(x) is divided by (x+1) is 7, and the remainder when f(x) is divided by (x-2) is 1. Find the value of p and the value of q.

Could someone solve it, please? I've been stuck on this problem for over two hours...

How's your Synthetic Division?