Factor 3x^2-30x+63

$3 x^{2} - 30 x + 63$

Step 1

Factor $3$ out of $3 x^{2} - 30 x + 63$ .

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

$3 (x^{2}) - 30 x + 63$

Factor $3$ out of $- 30 x$ .

$3 (x^{2}) + 3 (- 10 x) + 63$

Factor $3$ out of $63$ .

$3 x^{2} + 3 (- 10 x) + 3 \cdot 21$

Factor $3$ out of $3 x^{2} + 3 (- 10 x)$ .

$3 (x^{2} - 10 x) + 3 \cdot 21$

Factor $3$ out of $3 (x^{2} - 10 x) + 3 \cdot 21$ .

$3 (x^{2} - 10 x + 21)$

Step 2

Factor.

Factor $x^{2} - 10 x + 21$ 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 $21$ and whose sum is $- 10$ .

$- 7, - 3$

Write the factored form using these integers.

$3 ((x - 7) (x - 3))$

Remove unnecessary parentheses.

$3 (x - 7) (x - 3)$

Factor 3x^2-30x+63

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