Q25 Given f(x) = ax² + bx + 2 and g(x) = bx² + ax + 1. If x — 2 is a factor of f(x) but leaves the remainder —15 when it divides g(x), find the values of a and b. With these values of a and b, factorise the expression
f(x) + g(x) + 4x² + 7x.

Solution

,