Lesson 5: Operations on Polynomials

Presentation

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Mathematics

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University

•

Practice Problem

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Easy

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CCSS

HSA.APR.A.1, HSA.APR.D.6

Standards-aligned

Bradley Stephan Duda

Used 20+ times

FREE Resource

31 Slides • 5 Questions

Poll

On a scale of 1-5, how confident do you feel about performing addition and subtraction on polynomials?

Ex) $\left(2x^2+3x+1\right)+\left(x^2+4x+5\right)$

1. I do not remember anything about polynomials

2. I need to review the vocabulary and how to perform each operation

3. I remember some of the operations, but I could use some more help

4. I am comfortable with addition and subtraction and feel fairly confident

5. I am ready to move on to multiplication and division

Important vocabulary

Monomials

Important vocabulary

Monomials

Binomials

Important vocabulary

Monomials

Binomials

Trinomials

Polynomials

Important vocabulary

Terms

Another name for monomials

Important vocabulary

Terms

Another name for monomials

Like Terms

Important vocabulary

Terms

Another name for monomials

Like Terms

Degree

Important vocabulary

Terms

Another name for monomials

Like Terms

Degree

Degree of a polynomial

The largest degree out of ALL terms

Important vocabulary

Terms

Another name for monomials

Like Terms

Degree

Degree of a polynomial

The largest degree out of ALL terms

Leading Coefficient

The coefficient of the term with the largest degree

Distributive Property

Fill in the Blanks

Try performing the following operation on the polynomial:

$\left(2x^2+3x\right)-4\left(x^2-4\right)$

Type answer...

Adding/Subtracting Polynomials

Lesson 5.pdf - Google Drive

You can open this webpage in a new tab.

Multiplying Polynomials

When multiplying polynomials, we use the DISTRIBUTIVE property

Multiplying Polynomials

When multiplying polynomials, we use the DISTRIBUTIVE property

Lesson 5.pdf - Google Drive

You can open this webpage in a new tab.

Lesson 5.pdf - Google Drive

You can open this webpage in a new tab.

Lesson 5.pdf - Google Drive

You can open this webpage in a new tab.

Fill in the Blanks

Multiply the following: $\left(x+2\right)\left(x-2\right)\left(x+1\right)$

Type answer...

Dividing Polynomials

We can do the same for dividing polynomials by monomials!

Fill in the Blanks

Divide the following Polynomials: $\frac{-2x^4+4x^5}{2x^3}$

Type answer...

Dividing Polynomials

Lesson 5.pdf - Google Drive

You can open this webpage in a new tab.

Dividing Polynomials

Lesson 5.pdf - Google Drive

You can open this webpage in a new tab.

Dividing Polynomials

Lesson 5.pdf - Google Drive

You can open this webpage in a new tab.

Poll

How confident do you feel about the material you learned today?

Reminders:

There are exam resources in Lon Capa
Practice Problems for Exam 1, Timed Practice Exam, and Difficult problems from past exams
The difficulty of the exam is very similar to the above resources!
Come to supplemental instruction, use COSINE, Math Resource Room, Piazza, etc.

Reminders:

SIGN UP FOR EXAM IN LON CAPA
No Class on Monday
Homework due on Sunday
Exam #1 is Next Thursday
Wednesday's Class will review material for the first exam

https://forms.gle/rw1s1ekmLNPVjcjH8

On a scale of 1-5, how confident do you feel about performing addition and subtraction on polynomials?

Ex) $\left(2x^2+3x+1\right)+\left(x^2+4x+5\right)$

1. I do not remember anything about polynomials

2. I need to review the vocabulary and how to perform each operation

3. I remember some of the operations, but I could use some more help

4. I am comfortable with addition and subtraction and feel fairly confident

5. I am ready to move on to multiplication and division

Show answer

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Slide 1 / 36

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