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

(n + 1)(3n + 7)

Step-by-step 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

3n^2+10n+7.[multiply 3 and 7=3×7=21.now, put numbers that are equal to 10 when added and 21 when multiplied.so these numbers are.7+3=10 and 7×3=21]

=3n^2+(7+3)n+7

=3n^2+7n+3n+7

=n(3n+7)+1(3n+7)

=(n+1)(3n+7)

21

step-by-step explanation: