Algebra II with Trigonometry Essential Stuff Essential Question How do you factor expressions Essential Vocabulary Factor Quadratic Expression Trinomial What is Factoring Rewriting an expression as the product of its factors ID: 575773
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Slide1
Factoring
Algebra II with
Trigonometry
Mrs. StaceySlide2
Essential Stuff
Essential Question
How do you factor expressions?
Essential Vocabulary
Factor
Quadratic Expression
TrinomialSlide3
What is Factoring?
Rewriting an expression as the product of its factors
Four methods of factoring:
GCF (always try GCF first)
Trinomial (3 terms)
Difference of Squares/
Sum or
Dif
of Cubes (2 terms)
Grouping (4 terms)Slide4
Factoring with a GCF
7xy – 21x
4
y
2
+ 28x
2
y
4
3ab
3
– 9b
2
+ 22a
2
32m
2
n
3
+ 12m
4
n – 24mn
2Slide5
Factoring Trinomials
Trinomial
: a function with
three
terms
Quadratic Trinomial: a
quadratic
function with
three
termsSlide6
Factoring Trinomials
To
factor quadratic trinomials always check to see that the middle term’s exponent is
half
the first term’s exponent.
Binomial Factors
: the two expressions that multiply to give a quadratic trinomial
Examples!Slide7
Difference of Squares
Two perfect squares that are subtracted can be factored like so:
a
2
– b
2
= (a + b)(a – b)
Remember: use when given two terms.
Examples!Slide8
Homework:
Homework 5.1Slide9
Essential Stuff
Essential Question
How do you factor expressions?
Essential Vocabulary
Factor
Perfect CubesSlide10
What is Factoring?
Rewriting an expression as the product of its factors
Four methods of factoring:
GCF (always try GCF first)
Trinomial (3 terms)
Difference of Squares/
Sum or
Dif
of Cubes (2 terms)
Grouping (4 terms)Slide11
Perfect Cubes
We can factor the sum
or
difference of two perfect cubes…
This is the only other way we will factor 2 terms!
Examples!Slide12
Homework:
Homework 5.2Slide13
Essential Stuff
Essential Question
How do you factor expressions?
Essential Vocabulary
Factor
GroupingSlide14
What is Factoring?
Rewriting an expression as the product of its factors
Four methods of factoring:
GCF (always try GCF first)
Trinomial (3 terms)
Difference of Squares/
Sum or
Dif
of Cubes (2 terms)
Grouping (4 terms)Slide15
Grouping
Grouping is used
with
4 terms
.
Group
the first
two terms
and then the
second two terms. Look for
GCF
in each group.
Answer is two
binomials
.
Examples!Slide16
Homework:
Homework 5.3