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Factor the following expression completely. (hint: start by factoring out the GCF and then determine what other type of factoring can be used.)4x^2 + 20x + 16

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4x^2+20x+16

1. Factoring out the GCF:


=4(x^2+5x+4)

2. Rewrite the second term in parentheses as a difference (find two numbers that added equals 5 and multiplied 4):


=4(x^2+4x+x+4)

3. Factor by grouping:


=4(x(x+4)+(x+4))
=4(x+4)(x+1)

Then, the given expression factored is:


4x^2+20x+16=4(x+4)(x+1)

User Andrew Paramoshkin
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