Answer
(x+9)(x+6)
Work Step by Step
Given the polynomial
$x^{2}$ + 15x + 54
*** We break of the middle term into two factors that add to give +15 and multiply to give +54. The two numbers are +6 and +9.
$x^{2}$ + 9x + 6x + 54
We take the GCD of the first two and the GDC of the last two terms.
x(x+9) +6(x+9)
We take (x+9) and factor it out which gives us.
(x+9)(x+6)
