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3n *power 2 +10n+7 how to factories and pls tell with solution

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Answer:

(n + 1)(3n + 7)

Explanation:

3n² + 10n + 7

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.

product = 3 × 7 = 21 and sum = + 10

The factors are + 3 and + 7

Use these factors to split the n- term

3n² + 3n + 7n + 7 ( factor the first/second and third/fourth terms )

3n(n + 1) + 7(n + 1) ← factor out (n + 1) from each term

= (n + 1)(3n + 7) ← in factored form

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