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Verified Answer :

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 \(2x^2+4x-2\) is \(2(x^2+2x-1)\)

Step-by-step explanation:

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

Given the expression:

\(2x^2+4x-2\)

By definition of GCF we have;

Factor a GCF of the given expression.

Since GCF of \(2x^2\), 4x and -2 is 2.

then;

\(2(x^2+2x-1)\)

Therefore, factor completely \(2x^2+4x-2\) is \(2(x^2+2x-1)\)