Finding Intersection Points: Solve for x in y = (x-1)(x+10)

To find where the function intersects the x-axis, we set $y = (x - 1)(x + 10) = 0$.

Using the Zero Product Property, if the product equals zero, at least one of the factors must be zero:

• If $(x - 1) = 0$, then $x = 1$.
• If $(x + 10) = 0$, then $x = -10$.

Thus, the function intersects the x-axis at the points where $x = 1$ and $x = -10$. These give us the points $(1, 0)$ and $(-10, 0)$ respectively, as the y-coordinate is zero for all x-intercepts.

Therefore, the points of intersection are $(1, 0)$ and $-10, 0)$.