Respuesta :

2X²+4X-2
=2(X²+2X-1)
So, your answer is choice one: 2(X²+2X-1).

Answer:

Option A is correct

factor completely of [tex]2x^2+4x-2[/tex] is [tex]2(x^2+2x-1)[/tex]

Step-by-step explanation:

GCF(Greatest Common Factor) states that the largest factor that divides the polynomial.

Given the expression:

[tex]2x^2+4x-2[/tex]

By definition of GCF we have;

Factor a GCF of the given expression.

Since GCF of [tex]2x^2[/tex], 4x and -2 is 2.

then;

[tex]2(x^2+2x-1)[/tex]

Therefore, factor completely [tex]2x^2+4x-2[/tex] is [tex]2(x^2+2x-1)[/tex]