Factor 8x^2+16x-10

$8 x^{2} + 16 x - 10$

Step 1

Factor $2$ out of $8 x^{2} + 16 x - 10$ .

Factor $2$ out of $8 x^{2}$ .

$2 (4 x^{2}) + 16 x - 10$

Factor $2$ out of $16 x$ .

$2 (4 x^{2}) + 2 (8 x) - 10$

Factor $2$ out of $- 10$ .

$2 (4 x^{2}) + 2 (8 x) + 2 (- 5)$

Factor $2$ out of $2 (4 x^{2}) + 2 (8 x)$ .

$2 (4 x^{2} + 8 x) + 2 (- 5)$

Factor $2$ out of $2 (4 x^{2} + 8 x) + 2 (- 5)$ .

$2 (4 x^{2} + 8 x - 5)$

Step 2

Factor.

Factor by grouping.

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 $a \cdot c = 4 \cdot - 5 = - 20$ and whose sum is $b = 8$ .

Factor $8$ out of $8 x$ .

$2 (4 x^{2} + 8 (x) - 5)$

Rewrite $8$ as $- 2$ plus $10$

$2 (4 x^{2} + (- 2 + 10) x - 5)$

Apply the distributive property.

$2 (4 x^{2} - 2 x + 10 x - 5)$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$2 ((4 x^{2} - 2 x) + 10 x - 5)$

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

$2 (2 x (2 x - 1) + 5 (2 x - 1))$

Factor the polynomial by factoring out the greatest common factor, $2 x - 1$ .

$2 ((2 x - 1) (2 x + 5))$

Remove unnecessary parentheses.

$2 (2 x - 1) (2 x + 5)$

Factor 8x^2+16x-10

Related Questions

Support LCMGCF.com by disabling your adblocker.