Factor 35x^2+34x+8

$35 x^{2} + 34 x + 8$

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 $a \cdot c = 35 \cdot 8 = 280$ and whose sum is $b = 34$ .

Factor $34$ out of $34 x$ .

$35 x^{2} + 34 (x) + 8$

Rewrite $34$ as $14$ plus $20$

$35 x^{2} + (14 + 20) x + 8$

Apply the distributive property.

$35 x^{2} + 14 x + 20 x + 8$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(35 x^{2} + 14 x) + 20 x + 8$

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

$7 x (5 x + 2) + 4 (5 x + 2)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $5 x + 2$ .

$(5 x + 2) (7 x + 4)$

Factor 35x^2+34x+8

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