Find f(3) and f(2) in terms of p and q. Then solve that resulting system of equations.
Normal algebraic division using remainder or factor theorem is usually fine however this exam question asks to find values in a different way:
The polynomial
has as a factor. When is divided by the remainder is -20.
Show that p = 2 and find the value of q.
I can find these values easily by division however the question is worth 6 marks and requires a different approach.
How would you work this question out with that in mind?
Thanks if you can help.