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=x2.