Factor the polynomial f(x)=x^4−6x^3−7x^2+48x−36 given that 6 and −3 are zeros.

Answer 1

Dividing (x-6)(x+3) = x² -3x -18 into the polynomial

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

Factors are (x-6)(x+3)(x-2)(x-1)