# Factor each polynomial completely. If the polynomial cannot be factored,

zgribestika 2021-12-11 Answered
Factor each polynomial completely. If the polynomial cannot be factored, say it is prime.
${\left(x+2\right)}^{2}-5\left(x+2\right)$
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## Expert Answer

Mary Goodson
Answered 2021-12-12 Author has 37 answers
Step 1
Given
${\left(x+2\right)}^{2}-5\left(x+2\right)$
taking (x+2) out then our polynomial will look like
=(x+2){(x+2)-5}
=(x+2)(x+2-5)
=(x+2)(x-3)
Step 2
we can rewrite the polynomial by multiplying as
${x}^{2}-3x+2x-6$
$={x}^{2}-x-6$
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