Respuesta :

Given:

The given function is

[tex]y=x^2-17x-60[/tex]

The objective is to find the zeros of the polynomial by factorization.

Let's factorize the given equation.

[tex]\begin{gathered} x^2-17x-60=0 \\ x^2-20x+3x-60=0 \\ x(x-20)+3(x-20)=0 \\ (x+3)(x-20)=0 \end{gathered}[/tex]

By solving the above equation.

[tex]x=\lbrace-3,20\rbrace[/tex]

Hence the zeros of the polynomial are -3 and 20.