Question

factorise x³-2x²-x+2

Answer 1

$x^{3} -2x^{2} -x +2$
$= x^{2} (x-2) -1(x-2)$
$= (x-2)( x^{2} -1)$
$= (x-2)(x+1)(x-1)$

Answer 2

Factorise x³-2x²-x+2→

x³-2x²-x+2

=> x²(x-2)-1(x-2)

=> (x²-1)(x-2)

(1 can be Expressed as 1²)

=> (x²-1²)(x-2)

(a²-b² = (a+b)(a-b))

=> (x+1)(x-1)(x-2)

The factors of x³-2x²-x+2 are→

(x+1)(x-1)(x-2)
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