Question

what is the factored form of 2x^2+2x-4

A (x + 2)(2x - 1)
B 2(x + 2)(x - 1)
C 2(x + 2)(x + 1)
D (2x - 4)(x - 1)

Answer 1

2x^2+2x-4=2(2x^2+2x-4)/2=[2(2x^2)+2(2x)-2(4)]/2=[2^2x^2+2(2x)-8]/2
2x^2+2x-4=[(2x)^2+2(2x)-8]/2=(2x+4)(2x-2)/2=2(2x/2+4/2)2(2x/2-2/2)/2
2x^2+2x-4=2(x+2)(x-1)

Answer: Option B. 2(x+2)(x-1)