Question

When the expression 2x^4+px^3+5x^2+7 is divided by (x+1)(x-2), the remainder is qx+18. This result may be expressed as 2x^4+px^3+5x^2+7 identical to (x+1)(x-2)Q(x)+(qx+18), where Q(x) is the quotient. By substituting suitable values of x, find the values of p and q.

Answer 1

I like this question! Any ideas?

Answer 2

Hint: you don't know what Q(x) is and you don't really need to know it either. How would you get Q(x) out of the equation? What will you plug in?