this polynomial has the form:
[tex]ax^2+bx+c[/tex]which is factored as:
[tex]a(x-x_1)(x-x_2)[/tex]where x1 and x2 are the zeros of the polynomial.
Using the quadratic formula to find the zeros:
[tex]\begin{gathered} x_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x_{1,2}=\frac{20\pm\sqrt[]{(-20)^2-4\cdot1\cdot36}}{2\cdot1} \\ x_{1,2}=\frac{20\pm\sqrt[]{256}}{2} \\ x_1=\frac{20+16}{2}=18 \\ x_2=\frac{20-16}{2}=2 \end{gathered}[/tex]Therefore, the factored expression is (x - 18)(x - 2)
