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

Respuesta :

[tex]4x^2+20x+16[/tex]

1. Factoring out the GCF:

[tex]=4(x^2+5x+4)[/tex]

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

[tex]=4(x^2+4x+x+4)[/tex]

3. Factor by grouping:

[tex]=4(x(x+4)+(x+4))[/tex][tex]=4(x+4)(x+1)[/tex]

Then, the given expression factored is:

[tex]4x^2+20x+16=4(x+4)(x+1)[/tex]

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