Factor. 6n^3 + 6n^2 + 7n + 7 ______

Factor Common Terms: Look for common factors in the first two terms and the last two terms separately. We can factor out 6n^2 from the first two terms, and we can factor out 7 from the last two terms. 6n^3 + 6n^2 + 7n + 7 = 6n^2(n + 1) + 7(n + 1)Factor Out Common Factors: Check if there is a common binomial factor from the two groups. Both groups have a common factor of (n + 1). 6n^2(n + 1) + 7(n + 1) = (6n^2 + 7)(n + 1)Check for Common Binomial Factor: Write the final factored form of the polynomial. The factored form of 6n^3 + 6n^2 + 7n + 7 is (6n^2 + 7)(n + 1).

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Factor. $\newline$ $6n^3 + 6n^2 + 7n + 7$

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Q. Factor.

\newline

6n^3 + 6n^2 + 7n + 7

Factor Common Terms: Look for common factors in the first two terms and the last two terms separately. $\newline$ We can factor out $6n^2$ from the first two terms, and we can factor out $7$ from the last two terms. $\newline$ $6n^3 + 6n^2 + 7n + 7 = 6n^2(n + 1) + 7(n + 1)$
Factor Out Common Factors: Check if there is a common binomial factor from the two groups. $\newline$ Both groups have a common factor of $(n + 1)$ . $\newline$ $6n^2(n + 1) + 7(n + 1) = (6n^2 + 7)(n + 1)$
Check for Common Binomial Factor: Write the final factored form of the polynomial. $\newline$ The factored form of $6n^3 + 6n^2 + 7n + 7$ is $(6n^2 + 7)(n + 1)$ .