Answer
(x+25)(x+2)
Work Step by Step
You are given $x^{2}$+27x+50. Factor it out:
$x^{2}$+25x+2x+50 -break out the b value-
($x^{2}$+25x)+(2x+50) -group the first two and last two terms-
x(x+25)+2(x+25) -Find the GCF of each grouping-
(x+2)(x+25) -factor out the common term-
=(x+2)(x+25)
