Question

1. Factor the following expression completely.

2x^2 - 50
a.(2x + 5)(x - 5)
b.2(x - 5)2
c.2(x + 5)(x - 5)
d. 2(x2 - 25)

Answer 1

C will be your answer. First you, need to factor out the highest common factor, which in this case is two. That will give you:
x(x^2-25)
Next, you need to factor the x^2-25 expression. The square root of 25 is 5 and, since you do not have a 10x or -10x, that means you have one negative and one positive 5, thus:
2(x+5)(x-5) is your answer.