Question

Which of the following is the correct factorization of the polynomial below?
2x2 - 8x+8

Answer 1

(x-2)(2x-4)

Explanation:

`2x^2-8x+8`

the coefficient of the first term multiplied by the last is 16

We need to find two factors of 16 that add up to be -8

Those factors are -4 and -4

Then we need to factor by grouping

`(2x^2-4x)(-4x+8)`

We can take 2x out of both numbers in the first and -4x out of the last

2x(x-2)-4(x-2)

Then we get out final answer (x-2)(2x-4)

Answer 2

Explanation:

2x² - 8x+8 = 2x² - 4x - 4x + (-4) * (-2)

= 2x (x - 2) - 4 ( x -2)

= (x - 2) ( 2x - 4)