Factor 2x^4+22x^3+60x^2

$2 x^{4} + 22 x^{3} + 60 x^{2}$

Step 1

Factor $2 x^{2}$ out of $2 x^{4} + 22 x^{3} + 60 x^{2}$ .

Factor $2 x^{2}$ out of $2 x^{4}$ .

$2 x^{2} (x^{2}) + 22 x^{3} + 60 x^{2}$

Factor $2 x^{2}$ out of $22 x^{3}$ .

$2 x^{2} (x^{2}) + 2 x^{2} (11 x) + 60 x^{2}$

Factor $2 x^{2}$ out of $60 x^{2}$ .

$2 x^{2} (x^{2}) + 2 x^{2} (11 x) + 2 x^{2} (30)$

Factor $2 x^{2}$ out of $2 x^{2} (x^{2}) + 2 x^{2} (11 x)$ .

$2 x^{2} (x^{2} + 11 x) + 2 x^{2} (30)$

Factor $2 x^{2}$ out of $2 x^{2} (x^{2} + 11 x) + 2 x^{2} (30)$ .

$2 x^{2} (x^{2} + 11 x + 30)$

Step 2

Factor.

Factor $x^{2} + 11 x + 30$ 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 $30$ and whose sum is $11$ .

$5, 6$

Write the factored form using these integers.

$2 x^{2} ((x + 5) (x + 6))$

Remove unnecessary parentheses.

$2 x^{2} (x + 5) (x + 6)$

Factor 2x^4+22x^3+60x^2

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