Given: f(x) = 4x^2 + 4x - 2
First find the prime factors for each term on the right side of the equation:
4x^2 = 2*2*x*x
4x = 2*2*x
2 = 2
The greatest common factor (GCF) = 2
Next, factor out the GCF:
4x^2 + 4x - 2 = 2(2x^2) + 2(2x) + 2(-1)
= 2(2x^2 +2x - 1)
Your answer is:
f(x) = 2(2x^2 + 2x - 1)
All the best,
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