Answer
$ 2(x+5)(2x+3) $
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
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$4x^{2}+26x+30 =...$
Always start by searching for a GCF ... ($GCF=2$).
$=2(2x^{2}+13x+15)$
Now, the parentheses:
1. $\quad$"$ac$"$=30 \qquad $
2. $\quad$sum = $+13\quad$... factors: $+3$ and $+10$
3. $\quad$ $2x^{2}+13x+15 = (2x^{2}+3\mathrm{x})+(10x+15)$
4. $\quad$... $= x(2x+3)+(5)(2x+3) = (x+5)(2x+3) $
$2(2x^{2}+13x+15) = 2(x+5)(2x+3) $
