Question

Find hcf of X cube - 3x + 2

Answer 1

Answer :

Your question needs some correction.

It should be -

"Factorize (x³ - 3x + 2)"

Now, x³ - 3x + 2

= x³ - 1 - 3x + 3

= (x³ - 1) - 3 (x - 1)

= (x - 1) (x² + x + 1) - 3 (x - 1)

= (x - 1) (x² + x + 1 - 3)

= (x - 1) (x² + x - 2)

= (x - 1) (x² + 2x - x - 2)

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

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

which is the required factorization.

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