Factor. 25s^2 + 40s + 16 ______

Identify Quadratic Form: Identify the quadratic in the form of ax^2 + bx + c. Here, a = 25, b = 40, and c = 16.Find Multiplying Numbers: Look for two numbers that multiply to ac (25 * 16 = 400) and add up to b (40). The numbers are 20 and 20 because 20 * 20 = 400 and 20 + 20 = 40.Rewrite Middle Term: Rewrite the middle term using the two numbers found. 25s^2 + 20s + 20s + 16Factor by Grouping: Factor by grouping. (25s^2 + 20s) + (20s + 16)Factor Common Factor: Factor out the common factor from each group. 5s(5s + 4) + 4(5s + 4)Factor Common Binomial: Factor out the common binomial factor. (5s + 4)(5s + 4)

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Algebra 1

Factor quadratics: special cases

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Q. Factor.

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25s^2 + 40s + 16

Identify Quadratic Form: Identify the quadratic in the form of $ax^2 + bx + c$ . Here, $a = 25$ , $b = 40$ , and $c = 16$ .
Find Multiplying Numbers: Look for two numbers that multiply to $ac$ ( $25 \times 16 = 400$ ) and add up to $b$ ( $40$ ). $\newline$ The numbers are $20$ and $20$ because $20 \times 20 = 400$ and $20 + 20 = 40$ .
Rewrite Middle Term: Rewrite the middle term using the two numbers found. $\newline$ $25s^2 + 20s + 20s + 16$
Factor by Grouping: Factor by grouping. $\newline$ $(25s^2 + 20s) + (20s + 16)$
Factor Common Factor: Factor out the common factor from each group. $\newline$ $5s(5s + 4) + 4(5s + 4)$
Factor Common Binomial: Factor out the common binomial factor. $\newline$ $(5s + 4)(5s + 4)$