Precalculus Examples

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

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

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

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

$2 x (x + 3) - (x + 3)$

Factor the polynomial by factoring out the greatest common factor, $x + 3$ .

$(x + 3) (2 x - 1)$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]