Find the H.C.F of \left(\right. x + 1 \left.\right) \left(\right. x^{2} - 4 \left.\right) and \left(\right. x^{2} - 1 \left.\right) \left(\right. x

Foundation

Mathematics Foundation

Algebraic Identities

HCF and LCM of Polynomials

types of polynomial

Question

Find the H.C.F of

(x + 1) (x^{2} - 4)

and

(x^{2} - 1) (x - 2)

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Let

p (x) = (x + 1) (x^{2} - 4) = (x + 1) (x + 2) (x - 2)

and

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

The common factor of

p (x)

and

q (x)

= (x + 1) (x - 2)

∴

H.C.F of

p (x)

and

q (x)

= (x + 1) (x - 2)