Explanation:
To find a polynomial function that intersects the horizontal axis at -7, 8, and 15, we need to consider the x-intercepts of the graph. The x-intercepts occur when the function equals zero.
Let's start by finding the factors that lead to the x-intercepts. For a polynomial function to have x-intercepts at -7, 8, and 15, we need the factors (x + 7), (x - 8), and (x - 15).
To find the equation of the polynomial function, we multiply these factors together:
(x + 7)(x - 8)(x - 15)
Expanding this expression will give us the polynomial function equation.