Answer
$(x+4)(x+5)$
Work Step by Step
The 2 numbers whose product is $ac=
1(20)=20
$ and whose sum is $b=
9
$ are $\left\{
4,5
\right\}.$ Using these two numbers to decompose the middle term of the given trinomial, $
x^2+9x+20
,$ then
\begin{array}{l}\require{cancel}
x^2+4x+5x+20
\\\\=
(x^2+4x)+(5x+20)
\\\\=
x(x+4)+5(x+4)
\\\\=
(x+4)(x+5)
.\end{array}