CheemnCatelvew

2021-02-13

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary:
$3{a}^{2}+10a+7$

### Answer & Explanation

Delorenzoz

Step 1
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary:
$3{a}^{2}+10a+7$
Step 2
We have $3{a}^{2}+10a+7$
On factoring,
$⇒3{a}^{2}+10a+7=3{a}^{2}+3a+7a+7$
$⇒3{a}^{2}+10a+7=3a\left(a+1\right)+7\left(a+1\right)$
$⇒3{a}^{2}+10a+7=\left(a+1\right)\left(3a+7\right)$
Hence, the given polynomial is factorize.

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