Unit 9: Polynomials
BELLWORK
(10 minutes)
Simplify
1. 5x2y3(4xy6)
2. -3x2y3 + 7xy6 + 8x2y3
3. 2x2 y + 3xy2 + 5x2 y
4. 6xy2(-2x2y)
After
Simplifying
Compare and
Contrast the
process of
simplifying
these two
types of
problems.
Add/Sub Polynomials
SPI 3.2 Operate with Polynomials and simplify results.
Agenda:
10-15 min Lesson Preview
Vocabulary
Degree
Descending Order
Add/Sub Polynomials
Practice and Apply
Closure
Feb 1­8:17 PM
Nov 29­11:03 AM
You will have 15 minutes to preview
today's lesson. You should start on page
474 and work through page 477.
You will need to take notes from the
book and work the problems out that are
in the book. If you have a question about
a problem, make a note next to that
problem in your notes to help you
remember to ask what you don't
understand about that problem when we
do notes as a group.
Polynomials:
Types, degree, order, adding and subtracting
Monomial: One Term
Binomial: Two Terms
Trinomial: Three Terms
Polynomial: One or more terms
*Terms are separated with addition and subtraction
Lesson Preview
vocabulary
Types of Polynomials
2x2y6
3x + 5 - 2x
x - 19
15aybz
types
2x2 + 4x - 5
x3 + 2x2 - 1x + 10
TRY
2 + 3x2y6
3x + 5 - 2
Types of Polynomials
19
15aybz
TRY
2x2 - 5
5x2 - 7x + 15
types try
1
TRY
Degree of a Monomial
15x4 y11
a10 b3 c4
x
15xayb
15
Degree Monomial
TRY
x7y3z
8
d
Degree Monomial Try
Degree of a Polynomial
TRY
30v4w3 - 12v4w7
3x5y8 + 10x3y12 - 10y13
Degree Polynomial
Descending Order
Degree of a Polynomial
TRY
To find the degree of a polynomial:
find the degree of each term and take the
highest
To find the degree of a polynomial:
find the degree of each term and take the
highest
25x3 y2 + 6xy2 - 5y3
Degree of a Monomial
To find the degree of a monomial:
Add up the exponents on the variables
To find the degree of a monomial:
Add up the exponents on the variables
21x7y15 - 5x4y15 + 6xy20
Degree Polynomial try
TRY
Descending Order
TRY
Arrange the terms in order from greatest to least by the
exponent on the variable
Arrange the terms in order from greatest to least by the
exponent on the variable
4x5 - 17x7 + 8 - 54x3 + 5x
15y2 - 8y9 + 7y - 3
c + 8c3 - 3c7
-2m - 4m2 + 21 - 4m3
Descending Order
Descending Order Try
2
Adding Polynomials
TRY
Adding Polynomials
TRY
(Remember you can only add/subtract terms if they are like
terms)
(Remember you can only add/subtract terms if they are like
terms)
(2x2 + 3x - 4) + (6x3 - x2 + x - 6)
(-9r3 + 2r - 1) + (-5r2 + r + 8)
(x3 - 3x2 + 5x) + (7x3 +5x2 - 12)
(y3 - 4y2 - 2) + (6y3 + 4 - 6y2)
Add Polynomials
Subtracting Polynomials
(2x - 4) - (6x2 - 6x + 7)
(-4m3 - m + 9) - (4m2 + m - 12)
Sub Polynomials
Practice and Apply
P. 477­ 478 # 8­40E, 43­47, 51,52
SPI 3.2
Add Polynomials Try
TRY
Subtracting Polynomials
TRY
(5x2 - 3x + 7x) - (9x2 + 2x2 + 7x)
(3z3 - 4z + 7z2) - (8z2 - 6z - 5)
Sub Polynomials Try
Closure
Describe and correct the error in finding the
difference of the polynomials
(4x2 - x + 3) - (3x2 - 5x - 6)
4x2 - x + 3 - 3x2 + 5x - 6
Add/Sub Polynomials
4x2 - 3x2 - x + 5x + 3 - 6
x2 + 4x - 3
Practice and Apply
Closure
3