Factor 3x^2-6x-45

$3 x^{2} - 6 x - 45$

Step 1

Factor $3$ out of $3 x^{2} - 6 x - 45$ .

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

$3 (x^{2}) - 6 x - 45$

Factor $3$ out of $- 6 x$ .

$3 (x^{2}) + 3 (- 2 x) - 45$

Factor $3$ out of $- 45$ .

$3 x^{2} + 3 (- 2 x) + 3 \cdot - 15$

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

$3 (x^{2} - 2 x) + 3 \cdot - 15$

Factor $3$ out of $3 (x^{2} - 2 x) + 3 \cdot - 15$ .

$3 (x^{2} - 2 x - 15)$

Step 2

Factor.

Factor $x^{2} - 2 x - 15$ 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 $- 15$ and whose sum is $- 2$ .

$- 5, 3$

Write the factored form using these integers.

$3 ((x - 5) (x + 3))$

Remove unnecessary parentheses.

$3 (x - 5) (x + 3)$

Factor 3x^2-6x-45

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