Factor. s^3 + 2s^2 - 8s - 16 ______

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Identify Common Factors: Look for common factors in pairs of terms. We can group the terms to look for common factors in pairs. Let's group the first two terms and the last two terms separately. Group 1: s^3 + 2s^2 Group 2: -8s - 16Factor Out GCF: Factor out the greatest common factor from each group. From Group 1, we can factor out an s^2: s^3 + 2s^2 = s^2(s + 2) From Group 2, we can factor out a -8: -8s - 16 = -8(s + 2)Write Factored Groups: Write the expression with the factored groups. Now we have: s^2(s + 2) - 8(s + 2)Factor Out Binomial Factor: Factor out the common binomial factor. We can see that (s + 2) is a common factor in both terms, so we factor it out: (s^2 - 8)(s + 2)Recognize Difference of Squares: Recognize that s^2 - 8 is a difference of squares. s^2 - 8 can be factored further since it is a difference of squares: s^2 - 8 = (s + 2√2)(s - 2√2)Write Final Factored Form: Write the final factored form. Now we can write the polynomial in its completely factored form: (s + 2√2)(s - 2√2)(s + 2)

Factor. $\newline$ $s^3 + 2s^2 - 8s - 16$

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Factor.\newlines3+2s2−8s−16s^3 + 2s^2 - 8s - 16s3+2s2−8s−16

Factor. $\newline$ $s^3 + 2s^2 - 8s - 16$