Factor 14m^2+17m-22

$14 m^{2} + 17 m - 22$

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 $a \cdot c = 14 \cdot - 22 = - 308$ and whose sum is $b = 17$ .

Factor $17$ out of $17 m$ .

$14 m^{2} + 17 (m) - 22$

Rewrite $17$ as $- 11$ plus $28$

$14 m^{2} + (- 11 + 28) m - 22$

Apply the distributive property.

$14 m^{2} - 11 m + 28 m - 22$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(14 m^{2} - 11 m) + 28 m - 22$

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

$m (14 m - 11) + 2 (14 m - 11)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $14 m - 11$ .

$(14 m - 11) (m + 2)$

Factor 14m^2+17m-22

Related Questions

Support LCMGCF.com by disabling your adblocker.