What is the factor expression of x2 + 7x + 10

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asked Dec 17, 2023 221k views

19 votes

What is the factor expression of x2 + 7x + 10

Mathematics
high-school

Bruno Soares asked

by Bruno Soares

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1 Answer

7 votes

Answer:

(x+5)(x+2)

Explanation:

$\textbf{Given that,}\\\\~~~~x^2 +7x +10\\\\=x^2 +5x +2x +10~~~~~~~~~~~~~~~~~~~~;\textbf{Rewrite}~ 7x ~ \textbf{as}~ 5x +2x\\\\=x(x+5) +2(x+5)\\\\=(x+5)(x+2)~~~~~~~~~~~~~~~~~~~~~~~~~;\textbf{Take out the common factor}~ x+5$

Stephen Corwin answered Dec 22, 2023

by Stephen Corwin

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