Factor 20x^2+28x-3

$20 x^{2} + 28 x - 3$

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 $a \cdot c = 20 \cdot - 3 = - 60$ and whose sum is $b = 28$ .

Factor $28$ out of $28 x$ .

$20 x^{2} + 28 (x) - 3$

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

$20 x^{2} + (- 2 + 30) x - 3$

Apply the distributive property.

$20 x^{2} - 2 x + 30 x - 3$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(20 x^{2} - 2 x) + 30 x - 3$

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

$2 x (10 x - 1) + 3 (10 x - 1)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $10 x - 1$ .

$(10 x - 1) (2 x + 3)$

Factor 20x^2+28x-3

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