Answer
(x+25)(x+2)
Work Step by Step
Given the polynomial
$x^{2}$ + 27x +50
*** We break of the middle term into two factors that add to give +27 and multiply to give +50. The two numbers are +25 and +2.
$x^{2}$ + 25x + 2x +50
We take the GCD of the first two and the GDC of the last two terms.
x(x+25) +2(x+25)
We take (x+25) and factor it out which gives us.
(x+25)(x+2)
