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Factor. $\newline$ $9k^2 - 18k - 27$

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Factor quadratics

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Q. Factor.

\newline

9k^2 - 18k - 27

Identify coefficients: Identify the coefficients of the quadratic expression: $a = 9$ , $b = -18$ , $c = -27$ .
Find suitable numbers: Look for two numbers that multiply to $a*c$ ( $9*-27 = -243$ ) and add up to $b$ ( $-18$ ).
Apply numbers to expression: The numbers that work are $-27$ and $+9$ because $-27 \times 9 = -243$ and $-27 + 9 = -18$ .
Rewrite middle term: Rewrite the middle term using the numbers found: $9k^2 - 27k + 9k - 27$ .
Group the terms: Group the terms: $9k^2 - 27k$ + $9k - 27$ .
Factor out common factors: Factor out the common factors from each group: $9k(k - 3) + 9(k - 3)$ .
Factor out common binomial: Factor out the common binomial: $(k - 3)(9k + 9)$ .
Factor out common factor: Factor out the common factor of $9$ from the second binomial: $(k - 3)(9)(k + 1)$ .
Write final factored form: Write the final factored form: $9(k - 3)(k + 1)$ .

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