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

Identify Common Factors: Look for common factors in the first two terms and the last two terms separately. For the first two terms, 6s^3 and 6s^2, the common factor is 6s^2. For the last two terms, 7s and 7, the common factor is 7.Factor Out Common Factors: Factor out the common factors from the first two terms and the last two terms. 6s^3 + 6s^2 can be factored as 6s^2(s + 1). 7s + 7 can be factored as 7(s + 1).Combine Factored Expressions: Now, we have the expression in the form of 6s^2(s + 1) + 7(s + 1). Notice that (s + 1) is a common factor.Final Factored Form: Factor out the common factor (s + 1) from the entire expression. The factored form of the polynomial is (s + 1)(6s^2 + 7).

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Q. Factor.

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6s^3 + 6s^2 + 7s + 7

Identify Common Factors: Look for common factors in the first two terms and the last two terms separately. $\newline$ For the first two terms, $6s^3$ and $6s^2$ , the common factor is $6s^2$ . $\newline$ For the last two terms, $7s$ and $7$ , the common factor is $7$ .
Factor Out Common Factors: Factor out the common factors from the first two terms and the last two terms. $\newline$ $6s^3 + 6s^2$ can be factored as $6s^2(s + 1)$ . $\newline$ $7s + 7$ can be factored as $7(s + 1)$ .
Combine Factored Expressions: Now, we have the expression in the form of $6s^2(s + 1) + 7(s + 1)$ . Notice that $(s + 1)$ is a common factor.
Final Factored Form: Factor out the common factor $(s + 1)$ from the entire expression. $\newline$ The factored form of the polynomial is $(s + 1)(6s^2 + 7)$ .