Factor 4x^2+17x-15

$4 x^{2} + 17 x - 15$

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 $a \cdot c = 4 \cdot - 15 = - 60$ and whose sum is $b = 17$ .

Factor $17$ out of $17 x$ .

$4 x^{2} + 17 (x) - 15$

Rewrite $17$ as $- 3$ plus $20$

$4 x^{2} + (- 3 + 20) x - 15$

Apply the distributive property.

$4 x^{2} - 3 x + 20 x - 15$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 x^{2} - 3 x) + 20 x - 15$

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

$x (4 x - 3) + 5 (4 x - 3)$

Step 3

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

$(4 x - 3) (x + 5)$

Factor 4x^2+17x-15

Related Questions

Support LCMGCF.com by disabling your adblocker.