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# Polynomial Relations

##### Stage: 5 Challenge Level:

Why do this problem?
It gives practice in manipulation of polynomials.

Possible approach
An easy lesson starter!

Key question
What is $p(x)-q(x)$?

Possible extension
Learners can make up their own probems by writing down two polynomials in $x$ and then eliminating $x$ between the expressions. They might be asked to make up such a problem and exchange problems with their partner. Then they can compare and check results in pairs.

Possible support
Try a simpler example such as: find the formula relating

$p$ and $q$ where $p=x+3$ and $q=x^2$.