Solving Quadratic Functions by Factoring

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Objective

I can solve quadratic functions by factoring

Part 1 of 4

Warm-up video

Khan Academy · 9:12Vetted channel

We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    When a function intersects the x-axis, f(x) = 0, so to solve the equation, set the quadratic equation equal to 0 and factor.

  2. 2

    To factor a quadratic in the form x² + bx + c, find two numbers that add to b and multiply to c.

  3. 3

    If (x + a)(x + b) = 0, then either x + a = 0 or x + b = 0, so x = -a or x = -b.

Part 3 of 4

Practice

8 questions

1

What does it mean graphically when a quadratic function intersects the x-axis?

2

Explain the relationship between factoring a quadratic equation and finding its solutions.

Part 4 of 4

Exit ticket

Quick comprehension check

Solve for x by factoring: x² + 5x + 6 = 0. Show all your work.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

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