Question

Show that x2-3x-4 is a factor of f(x) where f(x)=x4-3x3-12x2+24x+32

Answer 1

divide x4-3x3-12x2+24x+32 by x2-3x-4 if the reminder is zero then it is said to be a factor

Answer 2

well x^2 -3x -4 = (x-4)(x+1) use the remainder theorem and find f(4) and (f-1) if both are zero then the product of the binomials is a factor of the polynomial