Factor 4s^2-22s+10

$4 s^{2} - 22 s + 10$

Step 1

Factor $2$ out of $4 s^{2} - 22 s + 10$ .

Factor $2$ out of $4 s^{2}$ .

$2 (2 s^{2}) - 22 s + 10$

Factor $2$ out of $- 22 s$ .

$2 (2 s^{2}) + 2 (- 11 s) + 10$

Factor $2$ out of $10$ .

$2 (2 s^{2}) + 2 (- 11 s) + 2 (5)$

Factor $2$ out of $2 (2 s^{2}) + 2 (- 11 s)$ .

$2 (2 s^{2} - 11 s) + 2 (5)$

Factor $2$ out of $2 (2 s^{2} - 11 s) + 2 (5)$ .

$2 (2 s^{2} - 11 s + 5)$

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 $a \cdot c = 2 \cdot 5 = 10$ and whose sum is $b = - 11$ .

Factor $- 11$ out of $- 11 s$ .

$2 (2 s^{2} - 11 (s) + 5)$

Rewrite $- 11$ as $- 1$ plus $- 10$

$2 (2 s^{2} + (- 1 - 10) s + 5)$

Apply the distributive property.

$2 (2 s^{2} - 1 s - 10 s + 5)$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$2 ((2 s^{2} - 1 s) - 10 s + 5)$

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

$2 (s (2 s - 1) - 5 (2 s - 1))$

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

$2 ((2 s - 1) (s - 5))$

Remove unnecessary parentheses.

$2 (2 s - 1) (s - 5)$

Factor 4s^2-22s+10

Related Questions

Support LCMGCF.com by disabling your adblocker.