Factor 30x^2-11x-30

$30 x^{2} - 11 x - 30$

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 $a \cdot c = 30 \cdot - 30 = - 900$ and whose sum is $b = - 11$ .

Factor $- 11$ out of $- 11 x$ .

$30 x^{2} - 11 (x) - 30$

Rewrite $- 11$ as $25$ plus $- 36$

$30 x^{2} + (25 - 36) x - 30$

Apply the distributive property.

$30 x^{2} + 25 x - 36 x - 30$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(30 x^{2} + 25 x) - 36 x - 30$

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

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

Step 3

Factor the polynomial by factoring out the greatest common factor, $6 x + 5$ .

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

Factor 30x^2-11x-30

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