The zeros of the polynomial function f(x) are x = 6 and x = -1.
Factorization method
Let the function f(x) be
[tex]$f(x)=x^{2}-5 x-6$[/tex]
By using the factorization method, we get
[tex]$f(x)=x^{2}-6 x+x-6$[/tex]
Note that -6 +1 = 5 and [tex]- 6 * 1 = - 6[/tex]
So we find: [tex]$f(x)=x^{2}-5 x-6$[/tex]
f(x) = (x-6)(x+1) = 0
[tex]$\|x=6\|$[/tex] and [tex]$\quad\|x=-1\|$[/tex]
Hence the zeros of the polynomial function f(x) are x = 6 and x = -1.
Therefore, the correct answer is option C. x = -6 and x = 1.
To learn more about the factorization method
https://brainly.com/question/11434122
#SPJ2
