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x² + 4x + 4
x            2
x             2

(x + 2) (x + 2) 


x + 2 should be your answer

binomial is having 2 terms

hope this helps

Answer:

The factor is (x+2).

Step-by-step explanation:

[tex]x^{2} +4x+4[/tex]

Lets assume this to be zero.

[tex]x^{2} +4x+4=0[/tex]

factoring it we get

[tex]x^{2} +2x+2x+4=0[/tex]

[tex]x(x+2)+2(x+2)=0[/tex]

This gives [tex](x+2)(x+2)[/tex] as factors.

Therefore, the factor is (x+2)

We can also check this as :

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

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