Factor 9m^2-12m-5

$9 m^{2} - 12 m - 5$

Step 1

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 $a \cdot c = 9 \cdot - 5 = - 45$ and whose sum is $b = - 12$ .

Factor $- 12$ out of $- 12 m$ .

$9 m^{2} - 12 (m) - 5$

Rewrite $- 12$ as $3$ plus $- 15$

$9 m^{2} + (3 - 15) m - 5$

Apply the distributive property.

$9 m^{2} + 3 m - 15 m - 5$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(9 m^{2} + 3 m) - 15 m - 5$

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

$3 m (3 m + 1) - 5 (3 m + 1)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $3 m + 1$ .

$(3 m + 1) (3 m - 5)$

Factor 9m^2-12m-5

Related Questions

Support LCMGCF.com by disabling your adblocker.