Operations with Polynomials

Operations with Polynomials

Do you want to know how to solve Operations with Polynomials? you can do it in one easy steps.

Step by step guide to do Operations with Polynomials

  • When multiplying a monomial by a polynomial, use the distributive property.
    \(\color{blue}{a×(b+c)=a×b+a×c}\)
  • For adding and subtracting polynomials remember to find and combine like terms.

Example 1:

Multiply. \(4(3x-5)-4x=\)

Solution:

Use the distributive property: \(4(3x−5)= 12x−20\)

Now, combine like terms: \(4(3x-5)-4x=12x-20-4x=8x-20\)

Example 2:

Multiply. \(6x(3x+7)+12x-x^2=\)

Solution:

Use the distributive property: \(6x(3x+7)=18x^2+42x\)

Cobine like terms: \(6x(3x+7)+12x-x^2= 18x^2+42x+12x-x^2=17x^2+54x\)

Example 3:

Multiply. \(5(2x-6)-x^2+4x=\)

Solution:

Use the distributive property: \(5(2x-6)=10x-30 \)

Now, combine like terms: \(5(2x-6)-x^2+4x= 10x-30 -x^2+4x=-x^2+14x-30\)

Example 4:

Multiply. \(2x(6x+2)= \)

Solution:

Use the distributive property: \(2x(6+2)=12x^2+4x \)

Exercises

Find each product.

  1. \(\color{blue}{3x^2 (6x – 5)+12x}\)
  2. \(\color{ blue }{5x^2 (7x – 2)-x^2}\)
  3. \(\color{blue}{– 3 (8x – 3)+5x}\)
  4. \(\color{blue}{6x^3 (– 3x + 4)-2x^2}\)
  5. \(\color{blue}{9 (6x + 2)+14x+8}\)
  6. \(\color{blue}{8 (3x + 7)-x^4}\)

Download Operations with Polynomials Worksheet

  1. \(\color{blue}{18x^3 – 15x^2+12x}\)
  2. \(\color{ blue }{35x^3 – 11x^2}\)
  3. \(\color{blue}{–19x + 9}\)
  4. \(\color{blue}{–18x^4 + 24x^3-2x^2}\)
  5. \(\color{blue}{68x + 26}\)
  6. \(\color{blue}{-x^4+24x + 56}\)

Related to "Operations with Polynomials"

Common Core Grade 7 Math FREE Sample Practice Questions
Common Core Grade 7 Math FREE Sample Practice Questions
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

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…