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QUESTION IMAGE

factor the following polynomial completely by grouping. if the expressi…

Question

factor the following polynomial completely by grouping. if the expression cannot be factored, enter the expression as is. $p^{2}+2p - 7p - 14$

Explanation:

Step1: Group the terms

$(p^{2}+2p)+(-7p - 14)$

Step2: Factor out the GCF from each group

$p(p + 2)-7(p + 2)$

Step3: Factor out the common binomial factor

$(p + 2)(p - 7)$

Answer:

$(p + 2)(p - 7)$