Question

what are the zeros of the function f (x) = (x-6)(2x+10)

Answer 1

Let f(x)=0.

$(x-6)(2x+10)=0$

Using the zero-factor property, equate each factor to 0 and then solve for x.

$\begin{gathered} x-6=0 \\ x=6 \\ \\ 2x+10=0 \\ 2x=-10 \\ x=-\frac{10}{2} \\ x=-5 \end{gathered}$

Thus, the zeros of the given function are 6 and -5.

The zeros are the x-coordinate where the graph touches the x-axis.

Thus, the x-coordinates of where the graph touches the x-axis are -5, and 6.