Factor 15z^2-4z-4

$15 z^{2} - 4 z - 4$

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 $a \cdot c = 15 \cdot - 4 = - 60$ and whose sum is $b = - 4$ .

Factor $- 4$ out of $- 4 z$ .

$15 z^{2} - 4 (z) - 4$

Rewrite $- 4$ as $6$ plus $- 10$

$15 z^{2} + (6 - 10) z - 4$

Apply the distributive property.

$15 z^{2} + 6 z - 10 z - 4$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(15 z^{2} + 6 z) - 10 z - 4$

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

$3 z (5 z + 2) - 2 (5 z + 2)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $5 z + 2$ .

$(5 z + 2) (3 z - 2)$

Factor 15z^2-4z-4

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