Question

Which of the following is the correct factorization of the polynomial below?
2x^2 - 8x+ 8
A. 2(x + 2)(x+4)
O B. (2x + 4)(x + 4)
C. 2(x - 2)2
D. The polynomial is irreducible.

Answer 1

Here given a quadratic polynomial

• we have to factorize it

2x²-8x+8

take 2 as common

2(x²-4x+4)

Here x²-4x+4 can also be written as

(x-2)²= x²-2×2×x +(2)²

(x-3

2)²= x²-4x+4

Hence ,

2(x-2)² is our answer

Option C is the correct option