Question

Factor the following polynomial fully.

10x2 + 16x – 8



A. 2(5x – 4)(x + 1)
B. (2x + 4)(5x – 2)
C. (10x – 8)(x + 1)
D. 2(x + 2)(5x – 2)

Answer 1

2(x + 2)(5x-2)

Explanation:

Here, we want to factorize the given polynomial

We have this as follows;

10x^2 + 20x - 4x -8

10x(x + 2) - 4(x + 2)

= (10x-4)(x + 2)

We can factor the first side by bringing out two and we will have;

10x-4 = 2(5x-2)

and hence;

2(x + 2)(5x-2)