Factor 3x^2-9x-54

$3 x^{2} - 9 x - 54$

Step 1

Factor $3$ out of $3 x^{2} - 9 x - 54$ .

Factor $3$ out of $3 x^{2}$ .

$3 (x^{2}) - 9 x - 54$

Factor $3$ out of $- 9 x$ .

$3 (x^{2}) + 3 (- 3 x) - 54$

Factor $3$ out of $- 54$ .

$3 x^{2} + 3 (- 3 x) + 3 \cdot - 18$

Factor $3$ out of $3 x^{2} + 3 (- 3 x)$ .

$3 (x^{2} - 3 x) + 3 \cdot - 18$

Factor $3$ out of $3 (x^{2} - 3 x) + 3 \cdot - 18$ .

$3 (x^{2} - 3 x - 18)$

Step 2

Factor.

Factor $x^{2} - 3 x - 18$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 18$ and whose sum is $- 3$ .

$- 6, 3$

Write the factored form using these integers.

$3 ((x - 6) (x + 3))$

Remove unnecessary parentheses.

$3 (x - 6) (x + 3)$

Factor 3x^2-9x-54

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