Factor 6x^2+17x+5

$6 x^{2} + 17 x + 5$

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 $a \cdot c = 6 \cdot 5 = 30$ and whose sum is $b = 17$ .

Factor $17$ out of $17 x$ .

$6 x^{2} + 17 (x) + 5$

Rewrite $17$ as $2$ plus $15$

$6 x^{2} + (2 + 15) x + 5$

Apply the distributive property.

$6 x^{2} + 2 x + 15 x + 5$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(6 x^{2} + 2 x) + 15 x + 5$

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

$2 x (3 x + 1) + 5 (3 x + 1)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $3 x + 1$ .

$(3 x + 1) (2 x + 5)$

Factor 6x^2+17x+5

Related Questions

Support LCMGCF.com by disabling your adblocker.