Question

factorise x cube minus 13 x square + 32 X + 20​

Answer 1

x^3-13x^2+32x-20

= x^3-x^2-12x^2+12x+20x+20

= x^2(x-1)-12x(x-1)+20(x-1)

=(x-1)(x^2-12x+20)

=(x-1)(x^2-2x-10x+20)

=(x-1)(x(x-2)-10(x-2))

=(x-1)(x-2)(x-10)