Question

factorise (x2-2x2)-11(x2-2x)+24

Answer 1

LET X2-2X= a

(a)2-11(a) +24

a2 – 11a +24

by splitting the middle term

a2-8a-3a + 24

a(a-8) -3(a-8)

(a-3)(a-8)

substitute a

(x2-2x-3) (x2-2x-8)

splitting the middle term

(x2-3x+x-3) (x2-4x+2x-8)

x(x-3) + 1(x-3) * x(x-4) + 2(x-4)

(x+1)(x-3)(x+2)(x-4)