Factor. 6x^3 + 6x^2 - 7x - 7 ______

Identify Common Factors: Look for common factors in the first two terms and the last two terms separately. We can factor out 6x^2 from the first two terms and -7 from the last two terms. 6x^3 + 6x^2 - 7x - 7 = 6x^2(x + 1) - 7(x + 1)Factor Out Common Terms: Check if there is a common binomial factor from the two groups. Both groups have a common factor of (x + 1). 6x^2(x + 1) - 7(x + 1) = (6x^2 - 7)(x + 1)Find Common Binomial Factor: Verify that the factored form is correct by expanding it to see if it matches the original polynomial. (6x^2 - 7)(x + 1) = 6x^3 + 6x^2 - 7x - 7

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Factor. $\newline$ $6x^3 + 6x^2 - 7x - 7$

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Q. Factor.

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6x^3 + 6x^2 - 7x - 7

Identify Common Factors: Look for common factors in the first two terms and the last two terms separately. $\newline$ We can factor out $6x^2$ from the first two terms and $-7$ from the last two terms. $\newline$ $6x^3 + 6x^2 - 7x - 7 = 6x^2(x + 1) - 7(x + 1)$
Factor Out Common Terms: Check if there is a common binomial factor from the two groups. $\newline$ Both groups have a common factor of $(x + 1)$ . $\newline$ $6x^2(x + 1) - 7(x + 1) = (6x^2 - 7)(x + 1)$
Find Common Binomial Factor: Verify that the factored form is correct by expanding it to see if it matches the original polynomial. $\newline$ $(6x^2 - 7)(x + 1) = 6x^3 + 6x^2 - 7x - 7$