Factor 9x^2-17x-2 - MathMaster

$9 x^{2} - 17 x - 2$

For a polynomial of the form $a x^{2} + b x + c$ , rewrite the middle term as a sum of two terms whose product is $a \cdot c = 9 \cdot - 2 = - 18$ and whose sum is $b = - 17$ .

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Factor $- 17$ out of $- 17 x$ .

$9 x^{2} - 17 (x) - 2$

Rewrite $- 17$ as $1$ plus $- 18$

$9 x^{2} + (1 - 18) x - 2$

Apply the distributive property.

$9 x^{2} + 1 x - 18 x - 2$

Multiply $x$ by $1$ .

$9 x^{2} + x - 18 x - 2$

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

$(9 x^{2} + x) - 18 x - 2$

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

$x (9 x + 1) - 2 (9 x + 1)$

Factor the polynomial by factoring out the greatest common factor, $9 x + 1$ .

$(9 x + 1) (x - 2)$

Factor 9x^2-17x-2

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