Question

Factor out the GCF -2x^2 - 4x - 6

Answer 1

The Greatest Common factor(GCF) of -2x^2-4x-6 is -2(x+1)(x-3)

What is Greatest Common Factor?

The greatest common factor (GCF) is the largest factor two or more numbers have in common

From the question,

-2x^2-4x-6

By collecting like terms

-2(x^2-2x-3)

By factoring x^2-2x-3

-2(x^2-3x+1x-3)

Collecting like terms

-2(x^2-3x)+(x-3)

-2(x(x-3)+1(x-3))

-2(x+1)(x-3)

hence  -2(x+1)(x-3) is the Greatest Common factor of  -2x^2-4x-6 is

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