Factor 6x^2+19x-7

$6 x^{2} + 19 x - 7$

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 $a \cdot c = 6 \cdot - 7 = - 42$ and whose sum is $b = 19$ .

Factor $19$ out of $19 x$ .

$6 x^{2} + 19 (x) - 7$

Rewrite $19$ as $- 2$ plus $21$

$6 x^{2} + (- 2 + 21) x - 7$

Apply the distributive property.

$6 x^{2} - 2 x + 21 x - 7$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(6 x^{2} - 2 x) + 21 x - 7$

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

$2 x (3 x - 1) + 7 (3 x - 1)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $3 x - 1$ .

$(3 x - 1) (2 x + 7)$

Factor 6x^2+19x-7

Related Questions

Support LCMGCF.com by disabling your adblocker.