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LESSON 2:
ADDING AND SUBTRACTING POLYNOMIALS
States the rules in adding
and subracting polynomials
States the rules in adding
and subracting polynomials
Add and subtract
polynomials
States the rules in adding
and subracting polynomials
Add and subtract
polynomials
demonstrates
appreciation in adding
and subtracting polynomials
1. Which of the following is a trinomial of degree
three?
Pretest
1. Which of the following is a trinomial of degree
three?
Pretest
What is the sum of 2m and - 5m?
a. – 6m b. – 3m c. 5m d. 7m
Pretest
What is the sum of 2m and - 5m?
a. – 6m b. – 3m c. 5m d. 7m
Pretest
What do you call a polynomial of degree four?
a. Linear b. Quadratic
c. Quartic d. Quintic
Pretest
What do you call a polynomial of degree four?
a. Linear b. Quadratic
c. Quartic d. Quintic
Pretest
What does the mono in monomial mean?
a. 4 b. 3 c. 2 d. 1
Pretest
What does the mono in monomial mean?
a. 4 b. 3 c. 2 d. 1
Pretest
The difference of (6x – 3) and (11x – 8) is.
a. -5x + 11 c. -5x – 5
b. -5x + 5 d. -5x – 11
Pretest
The difference of (6x – 3) and (11x – 8) is.
a. -5x + 11 c. -5x – 5
b. -5x + 5 d. -5x – 11
Pretest
A polynomial is an algebraic expression where all
variables when expressed in the numerator have
nonnegative integral exponents.
Remember:
The following are examples of polynomials:
Remember:
The following are examples of polynomials:
Remember:
The following are examples of polynomials:
Remember:
The following are examples of polynomials:
Remember:
Multinomials
Remember:
Note: Algebraic terms are separated either by a plus or a
minus sign.
The following are not polynomials:
The following are not polynomials:
The following are not polynomials:
The following are not polynomials:
The following are not polynomials:
The following are not polynomials:
How to add and subtract
polynomials?
We simply add and subtract any like terms
together.
How to add and subtract
polynomials?
What is a like term?
How to add and subtract
polynomials?
What is a like term?
Like Terms are terms whose variables (and their exponents such
as the 2 in x2) are the same.
In other words, terms that are "like" each other.
Note: the coefficients (the numbers you multiply by, such as "2"
in 2x) can be different.
How to add and subtract
polynomials?
Adding Polynomials
Three Steps:
Step 1:
Arrange each polynomial with the term with the highest exponent
first then in a decreasing order of exp
Adding Polynomials
Step 2:
Group the like terms. Like terms are terms whose variables and
exponents are the same.
Adding Polynomials
Step 3: Simplify by combining like terms.
Adding Polynomials
Adding Polynomials
Adding Polynomials
Adding Polynomials
Adding Polynomials
Adding Polynomials
Adding Polynomials
Subtracting Polynomials
Steps:
1. Change the sign of the Subtrahend (in other words turn "+"
into "-", and "-" into "+")
Subtracting Polynomials
Steps:
1. Change the sign of the Subtrahend (in other words turn "+"
into "-", and "-" into "+")
2. Then proceed to addition.
Subtracting Polynomials
Subtracting Polynomials
Subtracting Polynomials
Subtracting Polynomials
Subtracting Polynomials
Subtracting Polynomials
Chapter 2. Lesson 2.pdf
Chapter 2. Lesson 2.pdf
Chapter 2. Lesson 2.pdf
Chapter 2. Lesson 2.pdf
Chapter 2. Lesson 2.pdf
Chapter 2. Lesson 2.pdf
Chapter 2. Lesson 2.pdf
Chapter 2. Lesson 2.pdf
Chapter 2. Lesson 2.pdf

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Chapter 2. Lesson 2.pdf