Factor 5d^2-18d-8

$5 d^{2} - 18 d - 8$

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 $a \cdot c = 5 \cdot - 8 = - 40$ and whose sum is $b = - 18$ .

Factor $- 18$ out of $- 18 d$ .

$5 d^{2} - 18 (d) - 8$

Rewrite $- 18$ as $2$ plus $- 20$

$5 d^{2} + (2 - 20) d - 8$

Apply the distributive property.

$5 d^{2} + 2 d - 20 d - 8$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(5 d^{2} + 2 d) - 20 d - 8$

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

$d (5 d + 2) - 4 (5 d + 2)$

Step 3

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

$(5 d + 2) (d - 4)$

Factor 5d^2-18d-8

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