Factor 28k^2+13k-6

$28 k^{2} + 13 k - 6$

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 $a \cdot c = 28 \cdot - 6 = - 168$ and whose sum is $b = 13$ .

Factor $13$ out of $13 k$ .

$28 k^{2} + 13 (k) - 6$

Rewrite $13$ as $- 8$ plus $21$

$28 k^{2} + (- 8 + 21) k - 6$

Apply the distributive property.

$28 k^{2} - 8 k + 21 k - 6$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(28 k^{2} - 8 k) + 21 k - 6$

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

$4 k (7 k - 2) + 3 (7 k - 2)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $7 k - 2$ .

$(7 k - 2) (4 k + 3)$

Factor 28k^2+13k-6

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