Factor 8x^2+6x-9 - MathMaster

$8 x^{2} + 6 x - 9$

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 $a \cdot c = 8 \cdot - 9 = - 72$ and whose sum is $b = 6$ .

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Factor $6$ out of $6 x$ .

$8 x^{2} + 6 (x) - 9$

Rewrite $6$ as $- 6$ plus $12$

$8 x^{2} + (- 6 + 12) x - 9$

Apply the distributive property.

$8 x^{2} - 6 x + 12 x - 9$

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

$(8 x^{2} - 6 x) + 12 x - 9$

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

$2 x (4 x - 3) + 3 (4 x - 3)$

Factor the polynomial by factoring out the greatest common factor, $4 x - 3$ .

$(4 x - 3) (2 x + 3)$

Factor 8x^2+6x-9

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