(x^2 – 4x + 4) (x + 3) and (x^2 + 2x – 3) (x – 2) is............ A) x + 3 B) x – 2

Question

The HCF of the polynomials 

(x² – 4x + 4) (x + 3) and (x² + 2x – 3) (x – 2) is............

A) x + 3 

B) x – 2 

C) (x + 3) (x – 2) 

D) (x + 3) (x – 2)²

Answer 1

Correct option is (C) (x + 3) (x – 2)

\(\because\) \(x^2-4x+4\) = (x-2) (x-2) and

\(x^2+2x-3\) = (x+3) (x-1)

\(\therefore\) HCF of polynomials \((x^2-4x+4)(x+3)\) \(and\,(x^2+2x-3)(x-2)\)

= Highest common factor of polynomials \((x-2)^2(x+3)\) \(and\,(x-2)(x-1)(x+3)\)

= (x – 2) (x + 3)

Answer 2

Correct option is C) (x + 3) (x – 2)