Question

factorzies x³-2x²-x+2​

Answer 1

Answer:

x3−2x2−x+2

= x^{2} (x-2) -1(x-2)=x2(x−2)−1(x−2)

= (x-2)( x^{2} -1)=(x−2)(x2−1)

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