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Examveda

What is the HCF of the polynomials (x4 - 1), (x3 - 3x2 + 3x - 1) and (x3 - 2x2 + x)?

A. (x - 8)

B. (x - 1)

C. (x - 4)

D. (x - 2)

Answer: Option B

Solution(By Examveda Team)

(x4 - 1), (x3 - 3x2 + 3x - 1), (x3 - 2x2 + x)
= (x - 1)(x + 1)(x2 + 1), (x - 1)3, x(x - 1)2
⇒ HCF = (x - 1) Answer

This Question Belongs to Arithmetic Ability >> Problems On H.C.F And L.C.M

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