# Polynomial division with remainders, could someone help, please?

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• Aug 22nd 2019, 02:50 AM
ruby9099
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...
• Aug 22nd 2019, 02:58 AM
Idea
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\$\$
• Aug 22nd 2019, 06:05 AM
Cervesa
Re: Polynomial division with remainders, could someone help, please?
• Aug 22nd 2019, 06:23 PM
TKHunny
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?