Answer
$ (x+7)(2x+5) $
Work Step by Step
Factoring by grouping:
1. Multiply the leading coefficient, a, and the constant, c.
2. Find the factors of ac whose sum is b.
3. Rewrite the middle term, bx, as a sum or difference using the factors from step 2.
4. Factor by grouping
---
Always start by searching for a GCF.... none (other than 1).
1. $ac=70$
2. sum = $19$... factors: $14$ and $5$
3.
$2x^{2}+19x+35=(2x^{2}+ 14x)+(5x+35)$
4.
... $=2x(x+7)+5( x+7)$
$=(x+7)(2x+5)$
Check by FOIL$\qquad (x+7)(2x+5) $=
$F:\quad 2x^{2}$
$O:\quad +5x$
$I:\quad +14x$
$L:\quad +35$
$ (x+7)(2x+5) $= $2x^{2}+19x+35$
