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What is the HCF of the polynomials (x³-8), (x³-6x² + 12x-8) and (x³ - 4x² + 4x)?
Question

What is the HCF of the polynomials (x³-8), (x³-6x² + 12x-8) and (x³ - 4x² + 4x)?

A.

(x-1)

B.

(x-2)

C.

(x-8)

D.

(x-4)

Correct option is B

(x³-8) = (x-2)(x² + 4 + 2x)

(x³-6x² + 12x-8) = (x-2)³

(x³ - 4x² + 4x) = x(x² -4x+4)= x (x-2)²

So, HCF = highest common factor among all the given polynomials.

HCF = (x-2)

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