Solving Quadratic Equations by Factoring

Presentation

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Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Easy

•

CCSS

HSA-REI.B.4B, HSA-SSE.B.3B, HSF-IF.C.8A

Standards-aligned

Used 146+ times

FREE Resource

11 Slides • 6 Questions

Solving Quadratic Equations by Factoring

Overview with Examples and Practice

There are several ways to solving a quadratic equation.

1) Graphing: Put the equation in Desmos and find the x-intercepts (zeros).
2) Factoring: Factor the trinomials, set each factor equal to zero, then solve for the indicated variable.
3) Quadratic Formula
4) Complete the Square

Solving a Quadratic Equation by Graphing

This is an objective that you should know how to do. Answer the question on the next slide to check your knowledge.

Multiple Select

Graph x²- x - 6 in Desmos. Find the zeros (x-intercept).

-6

-3

-2

Prior Knowledge Needed

Factoring Trinomials
Solving Equations
Checking your solution by graphing in desmos.

How to Solve a Quadratic Equations by Factoring:

1) Factor the trinomial.
2) Set each factor equal to zero.
3) Solve for the indicated variable.
4) Check your solutions.

Example #1

Solve x²- x - 6 = 0 by factoring.

Example #2

Solve x²+ 6x + 9 = 0 by factoring.

Example #3

Solve 2x²- 9x + 10 = 0 by factoring.

Example #4

Solve 3x² + 5x + 2 = 0 by factoring.

I Understand. . .

that students will gravitate towards the easiest way to solve the quadratic equation: graphing. Therefore I will be testing to make sure that you are able to write the quadratic equation in intercept form (factored form) and solving equations.

So Let's Practice!

Take out a sheet of paper and answer the next four questions.

Open Ended

Solve for x.

(x + 3)(x - 3) = 0

Type response here

Open Ended

Solve for x.

(4x - 3)(x +7) = 0

Type response here

Open Ended

Write the intercept form for x² - x - 12 = 0.

Type response here

Open Ended

Write the intercept form for 7x² - 6x - 1 = 0.

Type response here

Poll

Which of the following concepts (steps) you still need help with?

Factoring Trinomials (intercept form/factored form)

Solving Equations

I understand both concepts!!!

Solving Quadratic Equations by Factoring

Overview with Examples and Practice

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