Factor 5x^2+28x-12

$5 x^{2} + 28 x - 12$

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 $a \cdot c = 5 \cdot - 12 = - 60$ and whose sum is $b = 28$ .

Factor $28$ out of $28 x$ .

$5 x^{2} + 28 (x) - 12$

Rewrite $28$ as $- 2$ plus $30$

$5 x^{2} + (- 2 + 30) x - 12$

Apply the distributive property.

$5 x^{2} - 2 x + 30 x - 12$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(5 x^{2} - 2 x) + 30 x - 12$

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

$x (5 x - 2) + 6 (5 x - 2)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $5 x - 2$ .

$(5 x - 2) (x + 6)$

Factor 5x^2+28x-12

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