Question

The hcf of the polynomial (x2 – 4x + 4)(x + 3) and (x2 + 2x – 3)(x – 2) is

Answer 1

x² - 4x + 4 = (x - 2)²

So (x² - 4x + 4) (x + 3) = (x-2 ) (x -2) (x + 3)

x² + 2x - 3 = x² - x + 3x - 3 = x(x - 1) + 3(x - 1) = (x - 1) (x + 3)

So (x² + 2x - 3) (x - 2) = (x - 1) (x + 3) (x - 2)

HCF = (x - 2) (x +3)