Precalculus Examples

$10 x^{2} + 5 x + 4 x + 2$

Step 1

Factor out the greatest common factor from each group.

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Step 1.1

Group the first two terms and the last two terms.

$(10 x^{2} + 5 x) + 4 x + 2$

Step 1.2

Factor out the greatest common factor (GCF) from each group.

$5 x (2 x + 1) + 2 (2 x + 1)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $2 x + 1$ .

$(2 x + 1) (5 x + 2)$

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