1/12 Polynomial Addition and Subtraction

​Simplify the following radicals:
1) √48 2) √90

​LO: SWBAT add and subtract polynomials of degree one and two algebraically.

DOL: Given a set of problems, students will correctly add and subtract polynomials of degree one and two algebraically in at least 4 of 5 questions.

                                           

Lesson Vocabulary

9

Polynomial

7x2 + 3x + 1

Monomial

Ex: 5x , 8, 3x2

Binomial

Ex: 4x4 + 9

Trinomial

Ex: 9x2 + 7x - 13

Constant

Ex: 23, 6, - 13

1 term

2 terms

3 terms

Contains no variables

Coefficient

Constant

Term

Multiple Choice

How many terms are in the polynomial presented here?

• 4

• 7

• 3

• 8

Multiple Choice

How many terms are in the polynomial presented here?

• 4

• 2

• 3

• 1

Writing a polynomial in standard form

• Exponents are arranged from highest to lowest (descending order).

• The last term should be the constant.

Multiple Select

Select all of the following that are like terms.

• 7x

• 5y

• 5

• 7y

• -3y

Combining like terms with Binomials

Using a vertical format

(2 terms)

+

The sign in front of the
constant is a part of the term.

Math

Tip

Combining

+

Combining like terms with Trinomials

Using a vertical format

(3 terms)

Combining

+

​(-x² -8x + 5)

Practice

Using a vertical format

+

You can use 0x as a
placeholder for missing terms.

Math

Tip

Math Response

ADD the two polynomials presented here. Type the sum as your answer.

Type answer here

Correct Answer: -5x^2+4x+2

Deg^°

Rad

Subtracting Polynomials

1st Distribute the
negative to EACH term.

2nd Combine like
terms.

​Using vertical format:

(9x² +x -4)
+ (2x²+0x-11)

Practice

Help Maggie find the difference of the polynomials.

​Using vertical format:

(2q² -q-8)
+ (-2q²-q+4)

Math Response

Subtract the polynomials presented here and type your answer.

Type answer here

Correct Answer: -y^2+9y+5

Deg^°

Rad

Create your own polynomial addition or
subtraction problem. (1 Min)

Image by Angela from Pixabay

Demonstration of Learning

DOL: Given a set
of problems,
students will
correctly add and
subtract
polynomials of
degree one and
two algebraically
in at least 4 of 5
questions.

29

Open Ended

Describe the process that we use to add and subtract polynomials.

Trade with your shoulder partner and solve. (2 min)

Image by Angela from Pixabay