### Video Transcript

The curve of a quadratic function π intersects the π₯-axis at the points one, zero and negative four, zero. What is the solution set of the equation π of π₯ equals zero?

Letβs sketch out what we know. We know that π intersects the π₯-axis at these two points: one, zero and negative four, zero. We also know that weβre dealing with a quadratic function. Maybe the quadratic function looks like this. Maybe it looks like this. But we donβt actually need that information to find the solution set.

The place where π of π₯ equals zero is the π₯ value of the π₯-intercepts. This happens at π₯ equals negative four and π₯ equal to positive one. Our solution set is the set of these two π₯ values: negative four and one.