Factor 5x^2-24x-36

$5 x^{2} - 24 x - 36$

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 $a \cdot c = 5 \cdot - 36 = - 180$ and whose sum is $b = - 24$ .

Factor $- 24$ out of $- 24 x$ .

$5 x^{2} - 24 (x) - 36$

Rewrite $- 24$ as $6$ plus $- 30$

$5 x^{2} + (6 - 30) x - 36$

Apply the distributive property.

$5 x^{2} + 6 x - 30 x - 36$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(5 x^{2} + 6 x) - 30 x - 36$

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

$x (5 x + 6) - 6 (5 x + 6)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $5 x + 6$ .

$(5 x + 6) (x - 6)$

Factor 5x^2-24x-36

Related Questions

Support LCMGCF.com by disabling your adblocker.