Factor 8y^2+17y+2

$8 y^{2} + 17 y + 2$

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 $a \cdot c = 8 \cdot 2 = 16$ and whose sum is $b = 17$ .

Factor $17$ out of $17 y$ .

$8 y^{2} + 17 (y) + 2$

Rewrite $17$ as $1$ plus $16$

$8 y^{2} + (1 + 16) y + 2$

Apply the distributive property.

$8 y^{2} + 1 y + 16 y + 2$

Multiply $y$ by $1$ .

$8 y^{2} + y + 16 y + 2$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(8 y^{2} + y) + 16 y + 2$

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

$y (8 y + 1) + 2 (8 y + 1)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $8 y + 1$ .

$(8 y + 1) (y + 2)$

Factor 8y^2+17y+2

Related Questions

Support LCMGCF.com by disabling your adblocker.