Simplifying Polynomials

Simplifying Polynomials

To simplify polynomials, you need to find “like” terms and combine them. Here you can learn how to simplify polynomials.

Step by step guide to simplifying polynomials

  • Find “like” terms. (they have same variables with same power).
  • Add or Subtract “like” terms using order of operation.

Example 1:

Simplify this expression. \(2x(2x-4)=\)

Solution:

Use Distributive Property: \(2x(2x−4)=4x^2−8x\)

Example 2:

Simplify this expression. \(4x^2+6x+2x^2-4x-3=\)

Solution:

First find “like” terms and combine them: \(4x^2+2x^2= 6x^2 \), \(6x-4x= 2x\)
Now simplify: \(4x^2+6x+2x^2-4x-3=6x^2+2x-3\)

Example 3:

Simplify this expression. \(4x(6x-3)=\)

Solution:

Use Distributive Property: \(4x(6x-3)=24x^2-12x\)

Example 4:

Simplify this expression. \(7x^3+2x^4+2x^3-4x^4-8x=\)

Solution:

First find “like” terms and combine them: \(7x^3+2x^3= 10x^3 \), \(2x^4-4x^4= -2x^4 \)
Now simplify and write in standard form: \(7x^3+2x^4+2x^3-4x^4-8x=-2x^4+10x^3-8x\)

Exercises

Simplify each expression.

  1. \(\color{blue}{(12x^3 + 28x^2 + 10x^2 + 4) }\)
  2. \(\color{blue}{(2x + 12x^2 – 2) – (2x + 1)}\)
  3. \(\color{blue}{(2x^3 – 1) + (3x^3 – 2x^3)}\)
  4. \(\color{blue}{(x – 5) (x – 3)}\)
  5. \(\color{blue}{(3x + 8) (3x – 8)}\)
  6. \(\color{blue}{(8x^2 – 3x) – (5x – 5 – 8x^2)}\)

Download Simplifying Polynomials Worksheet

  1. \(\color{blue}{12x^3 + 38x^2 + 4}\)
  2. \(\color{blue}{12x^2 – 3 }\)
  3. \(\color{blue}{3x^3 – 1}\)
  4. \(\color{blue}{x^2 – 8x + 15}\)
  5. \(\color{blue}{9x^2 – 64}\)
  6. \(\color{blue}{16x^2 – 8x + 5}\)

Related to "Simplifying Polynomials"

10 Most Common Grade 7 Georgia Milestones Assessment System Math Questions
10 Most Common Grade 7 Georgia Milestones Assessment System Math Questions
MCAS Math Grade 5 Practice Test Questions
MCAS Math Grade 5 Practice Test Questions
FREE FTCE Math Practice Test
FREE FTCE Math Practice Test
FSA Grade 7 Math FREE Sample Practice Questions
FSA Grade 7 Math FREE Sample Practice Questions
Full-Length ATI TEAS 6 Math Practice Test-Answers and Explanations
Full-Length ATI TEAS 6 Math Practice Test-Answers and Explanations
Full-Length ATI TEAS 6 Math Practice Test
Full-Length ATI TEAS 6 Math Practice Test
10 Most Common Grade 6 Georgia Milestones Assessment System Math Questions
10 Most Common Grade 6 Georgia Milestones Assessment System Math Questions
Georgia Milestones Assessment System Math Grade 5 Practice Test Questions
Georgia Milestones Assessment System Math Grade 5 Practice Test Questions
FREE SHSAT Math Practice Test
FREE SHSAT Math Practice Test
PSSA Grade 7 Math FREE Sample Practice Questions
PSSA Grade 7 Math FREE Sample Practice Questions

Leave a Reply

Your email address will not be published. Required fields are marked *

27% OFF

Download Instantly

X

How Does It Work?

Find Books

1. Find eBooks

Locate the eBook you wish to purchase by searching for the test or title.

add to cart

2. Add to Cart

Add the eBook to your cart.

checkout

3. Checkout

Complete the quick and easy checkout process.

download

4. Download

Immediately receive the download link and get the eBook in PDF format.

Why Buy eBook From Effortlessmath?

Save money

Save up to 70% compared to print

Instantly download

Instantly download and access your eBook

help environment

Help save the environment

Access

Lifetime access to your eBook

Test titles

Over 2,000 Test Prep titles available

Customers

Over 80,000 happy customers

Star

Over 10,000 reviews with an average rating of 4.5 out of 5

Support

24/7 support

Anywhere

Anytime, Anywhere Access

Find Your Test

Schools, tutoring centers, instructors, and parents can purchase Effortless Math eBooks individually or in bulk with a credit card or PayPal. Find out more…