Precalculus Examples

$3 x^{4} + 12 x^{2} + 6 x^{3}$

Step 1

Factor $3 x^{2}$ out of $3 x^{4} + 12 x^{2} + 6 x^{3}$ .

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Step 1.1

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

$3 x^{2} (x^{2}) + 12 x^{2} + 6 x^{3}$

Step 1.2

Factor $3 x^{2}$ out of $12 x^{2}$ .

$3 x^{2} (x^{2}) + 3 x^{2} (4) + 6 x^{3}$

Step 1.3

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

$3 x^{2} (x^{2}) + 3 x^{2} (4) + 3 x^{2} (2 x)$

Step 1.4

Factor $3 x^{2}$ out of $3 x^{2} (x^{2}) + 3 x^{2} (4)$ .

$3 x^{2} (x^{2} + 4) + 3 x^{2} (2 x)$

Step 1.5

Factor $3 x^{2}$ out of $3 x^{2} (x^{2} + 4) + 3 x^{2} (2 x)$ .

$3 x^{2} (x^{2} + 4 + 2 x)$

Step 2

Reorder terms.

$3 x^{2} (x^{2} + 2 x + 4)$

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