Factor 8x^2+11x+3

$8 x^{2} + 11 x + 3$

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 $a \cdot c = 8 \cdot 3 = 24$ and whose sum is $b = 11$ .

Factor $11$ out of $11 x$ .

$8 x^{2} + 11 (x) + 3$

Rewrite $11$ as $3$ plus $8$

$8 x^{2} + (3 + 8) x + 3$

Apply the distributive property.

$8 x^{2} + 3 x + 8 x + 3$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(8 x^{2} + 3 x) + 8 x + 3$

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

$x (8 x + 3) + 1 (8 x + 3)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $8 x + 3$ .

$(8 x + 3) (x + 1)$

Factor 8x^2+11x+3

Related Questions

Support LCMGCF.com by disabling your adblocker.