Let's begin by listing out the information given to us:
[tex]f\mleft(x\mright)=x^2-x-6[/tex]The zero function refers to the real number that makes the value of the function equal to zero
[tex]\begin{gathered} x^2-x-6=0 \\ We\text{ factori}se,\text{ we have:} \\ x^2-6x+x-6=0 \\ x(x-6)+1(x-6)=0 \\ (x-6)(x+1)=0 \\ x-6=0,x+1=0 \\ x=6.x=-1 \\ \therefore x_1=6,x_2=-1 \end{gathered}[/tex]When the value of x equals 6 or -1, we get the zero of the function