serenamoles02
serenamoles02 serenamoles02
  • 25-03-2019
  • Mathematics
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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 25-03-2019

ANSWER

A. (x+4)

EXPLANATION

The given binomial is

[tex] {x}^{2} + 12x + 32[/tex]

Split the middle term:

[tex] {x}^{2} + 8x + 4x + 32[/tex]

Factor;

[tex]x(x + 8) + 4( x + 8)[/tex]

Factor further;

[tex](x + 8)(x + 4)[/tex]

Therefore

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

is a factor.

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