1 / 47

# FACTORING RULES - PowerPoint PPT Presentation

FACTORING RULES. *GCF( Greatest Common Factor) – First Rule 4 TERMS Grouping 3 TERMS Perfect Square Trinomial AC Method with Grouping 2 TERMS Difference Of Two Squares Sum or Difference Of Two Cubes.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' FACTORING RULES' - upton

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

RULES

4 TERMS

Grouping

3 TERMS

Perfect Square Trinomial

AC Method with Grouping

2 TERMS

Difference Of Two Squares

Sum or Difference Of Two Cubes

GCFGreatest Common Factor First Rule toAlwaysCheck

• 3 TERMS

• Perfect Square Trinomials

• 2) AC Method With Grouping

We will explore factoring trinomials using the ac method with grouping next and come back to Perfect Square Trinomials later.

by

Using The

AC Method

With

Grouping

The first rule of factoring is to factor out the Greatest Common Factor(GCF).

Stop! Check that you have factored the (GCF)correctly by distributing it back through the remaining polynomial to obtain the original trinomial.

After factoring out the (GCF), the remaining polynomial is of the form

To factor , we must find two integers whose product is ac and whose sum is b.

To factor , we must find two integers whose product is -60 and whose sum is 7.

SUM OF FACTORS OF

ac = b = 7

Replace b = 7 in our original expression with

b = 12 + (-5).

KEY #

FACTORS OF

SUM OF FACTORS OF

KEY #

FACTORS OF

SUM OF FACTORS OF

KEY #

FACTORS OF

SUM OF FACTORS OF

KEY #

FACTORS OF

SUM OF FACTORS OF

KEY #

FACTORS OF

SUM OF FACTORS OF

KEY #

FACTORS OF

SUM OF FACTORS OF

• Difference of Two Squares

• 2) Sum and Difference of Two Cubes

Factoring is an algebraic process which allows us to solve quadratic equations pertaining to real-world applications, such as remodeling a kitchen or building a skyscraper.

We will cover the concept of solving quadratic equations and then investigate some real-world applications.

A quadratic equation is an equation that can be written in standard form

where a, b, and c represent real numbers, and

using factoring and the

Zero-Factor Property.

When the product of two real numbers is 0, at least one of them is 0.

If a and b represent real numbers, and

if then a=0 or b=0

APPLICATIONS

USING