Determine Intersection Points for y = (x - 11)(x + 1)

To determine the points where the function intersects the x-axis, we need to find the x-intercepts. These occur where $y = 0$.

The function is given as $y = (x-11)(x+1)$. To find the x-intercepts, we set this function equal to zero:

$(x-11)(x+1) = 0$.

This equation implies that the product is zero when either $x-11 = 0$ or $x+1 = 0$.

Solving these equations, we find:

• $x-11 = 0$ leads to $x = 11$.
• $x+1 = 0$ leads to $x = -1$.

Thus, the points of intersection with the x-axis are $(-1, 0)$ and $(11, 0)$.

Therefore, the solution to the problem is $(-1, 0), (11, 0)$.