4.4 day 1

4.4 FACTORING QUADRATIC EXPRESSIONS Part 1

FACTORS
Factors are the numbers you multiply together to get another number.
The factors of an expression are expressions that you multiply together to get another expression.
Factoring is rewriting an expression as a product of its factors.

FACTORING
To factor a polynomial means to transform it to a product of two or more factors (usually binomials)
Factoring is the reverse process of FOIL (Double Distribution)
FOIL can be used to check your work

TO FACTOR A POLYNOMIAL OF THE FORM
What are factors of c that add up to b?
Set up factors
Plug in the numbers
Check

FACTOR EACH EXPRESSION

 REMEMBER
When the third term is positive in a quadratic trinomial, the binomial factors have the same sign

THIRD TERM IS NEGATIVE
When the third term is negative the binomial factors have opposite signs

GCF
The greatest common factor (GCF) of an expression is a factor that all the terms in an expression have in common.
Always factor out the GCF first!
The GCF can be a number, a variable, or both

FIND THE GCF OF THE EXPRESSION. THE FACTOR THE EXPRESSION.

FACTOR EACH EXPRESSION

LEADING COEFFICIENTS
The leading coefficient of a polynomial is the coefficient of the term with the highest degree
We know how to factor quadratic trinomials whose leading coefficient is 1
We will learn how to factor quadratic trinomials whose leading coefficients are not 1

THE ARC METHOD
Used to factor quadratic trinomials whose leading coefficients are not 1

STEPS OF THE ARC METHOD
“ Arc” the leading coefficient
Factor
Divide both by the leading coefficient that was arced
Simplify if possible
Undo the arc
Check

FACTOR THE EXPRESSION

HOMEWORK
P221 #1 – 3, 15 – 45odd

4.4 day 1

by leblance

Accessibility

Categories

Upload Details

Usage Rights

1 Embed 26

Statistics

4.4 day 1 Presentation Transcript