Factor 2x^2+15x-27

$2 x^{2} + 15 x - 27$

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 $a \cdot c = 2 \cdot - 27 = - 54$ and whose sum is $b = 15$ .

Factor $15$ out of $15 x$ .

$2 x^{2} + 15 (x) - 27$

Rewrite $15$ as $- 3$ plus $18$

$2 x^{2} + (- 3 + 18) x - 27$

Apply the distributive property.

$2 x^{2} - 3 x + 18 x - 27$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(2 x^{2} - 3 x) + 18 x - 27$

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

$x (2 x - 3) + 9 (2 x - 3)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $2 x - 3$ .

$(2 x - 3) (x + 9)$

Factor 2x^2+15x-27

Related Questions

Support LCMGCF.com by disabling your adblocker.