Question Video: Understanding Zeros of Quadratic Functions | Nagwa Question Video: Understanding Zeros of Quadratic Functions | Nagwa

# Question Video: Understanding Zeros of Quadratic Functions Mathematics • Third Year of Preparatory School

## Join Nagwa Classes

If the graph of the quadratic function π cuts the π₯-axis at the points (β3, 0) and (β9, 0), what is the solution set of π(π₯) = 0 in β?

01:01

### Video Transcript

If the graph of the quadratic function π cuts the π₯-axis at the points negative three, zero and negative nine, zero, what is the solution set of π of π₯ equals zero in the set of real numbers?

Now remember, if weβre given the graph of a function, we can find the solutions to π of π₯ equals zero by locating the π₯-intercepts or zeros of the function. Now, in this case, weβre not actually given a graph, but we are told the coordinates at which the function cuts the π₯-axis. Itβs negative three, zero and negative nine, zero. Since the first number in each ordered pair corresponds to the value of π₯ here, we can say that the solutions to the equation π of π₯ equals zero are π₯ equals negative three and π₯ equals negative nine. Using set notation, the solution set of π of π₯ equals zero in the set of real numbers is the set containing the elements negative three and negative nine.

## Join Nagwa Classes

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

• Interactive Sessions
• Chat & Messaging
• Realistic Exam Questions