Sign In | Subscribe
INSTRUCTORS Carleen Eaton Grant Fraser Eric Smith
Start learning today, and be successful in your academic & professional career. Start Today!
Loading video...
This is a quick preview of the lesson. For full access, please Log In or Sign up.
For more information, please see full course syllabus of Algebra 1
  • Discussion

  • Study Guides

  • Practice Questions

  • Download Lecture Slides

  • Table of Contents

  • Related Books

Bookmark and Share
Lecture Comments (10)

1 answer

Last reply by: Dr Carleen Eaton
Sat Nov 7, 2015 6:16 PM

Post by Manuel Ramirez on November 3, 2015

2(t2+5)-3(t2+5) t is square can u help me on this problem

1 answer

Last reply by: Dr Carleen Eaton
Fri May 17, 2013 7:04 PM

Post by Jaret Granger on May 16, 2013

I did not understand on Example 3
why did you put 0 for z
is it because it does not have a power ??

0 answers

Post by CW Burnette on February 12, 2013

i dont get any of this

3 answers

Last reply by: Dr Carleen Eaton
Mon May 13, 2013 12:09 AM

Post by CW Burnette on February 12, 2013

i meen 5x3

0 answers

Post by CW Burnette on February 12, 2013

wait , how did you get 5xy when you were adding 4x3 plus x3 ?

Adding and Subtracting Polynomials

  • To add or subtract polynomials, combine like terms. Recall from Section 1 that like terms have the same variables to the same powers.

Adding and Subtracting Polynomials

Add:
( 3x2 − 5x − 8 ) + ( 5x4 − 9x2 + x )
  • ( 3x2 − 9x2 ) + ( − 5x + x ) + 5x4 − 8
  • − 6x2 − 4x + 5x4 − 8
5x4 − 6x2 − 4x − 8
Add:
( 6y3 + 3y2 − 7y + 2 ) + ( 4y2 + 10y )
  • ( 3y2 + 4y2 ) + ( − 7y + 10y ) + 6y3 + 2
  • 7y2 + 3y + 6y3 + 2
6y3 + 7y2 + 3y + 2
Add:
( x4 + x3 − x2 + 2x ) + ( 12x4 − 3x3 + 6x + 14 )
  • ( x4 + 12x4 ) + ( x3 − 3x3 ) + ( 2x + 6x ) − x2 + 14
  • 13x4 − 2x3 + 8x − x2 + 14
13x4 − 2x3 − x2 + 8x + 14
Subtract:
( 10x2 − 4x4 + 5x3 − 18 ) − ( 5x3 + 9x − x2 )
  • ( 10x2 − 4x4 + 5x3 − 18 ) + ( − 5x3 − 9x + x2 )
  • ( 10x2 + x2 ) + ( 5x3 − 5x3 ) + ( − 4x4 ) + ( − 9x ) − 18
  • ( 11x2 ) + 0 − 4x4 − 9x − 18
− 4x4 + 11x2 − 9x − 18
Subtract:
( 3d2 − 4d3 + 6d ) − ( 7d + 5d3 − 11d2 )
  • ( 3d2 − 4d3 + 6d ) + ( − 7d − 5d3 + 11d2 )
  • ( 3d2 + 11d2 ) + ( − 4d3 − 5d3 ) + ( 6d − 7d )
  • 13d2 − 9d3 − d
− 9d3 + 13d2 − d
Subtract:
( 4g3 + 2g5 − 8g2 ) − ( 6g4 + 14g2 − 18g3 )
  • ( 4g3 + 2g5 − 8g2 ) + ( − 6g4 − 14g2 + 18g3 )
  • ( 4g3 + 18g3 ) + ( − 8g2 − 14g2 ) + 2g5 − 6g4
  • 22g3 − 22g3 + 2g5 − 6g4
2g5 − 6g4 + 22g3 − 22g3
Add and Subtract:
( 3m2 − m + 5 ) − ( 6m − 12m2 ) + ( 20m2 − 10m − 1 )
  • ( 3m2 − m + 5 ) + ( − 6m + 12m2 ) + ( 20m2 − 10m − 1 )
  • ( 3m2 + 12m2 + 20m2 ) + ( − m − 6m − 10m ) + ( 5 − 1 )
35m2 − 17m + 4
Add and Subtract:
( 4s3 − 16s4 + 3s ) + ( 7s2 − 9s3 + s ) − ( 11s4 − 2s2 + 8s3 + 15 )
  • ( 4s3 − 16s4 + 3s ) + ( 7s2 − 9s3 + s ) + ( − 11s4 + 2s2 − 8s3 − 15 )
  • ( 4s3 − 9s3 − 8s3 ) + ( − 16s4 − 11s4 ) + ( 3s + s ) + ( 7s2 + 2s2 ) − 15
  • − 13s3 − 27s4 + 4s + 9s2 − 15
− 27s4 − 13s3 + 9s2 + 4s − 15
Add and Subtract:
( 3c2 − 18c3 + 14c ) − ( 12c + 15c2 − 16c ) + ( 7c3 − 10c2 )
  • ( 3c2 − 18c3 + 14c ) + ( − 12c − 15c2 + 16c ) + ( 7c3 − 10c2 )
  • ( 3c2 − 15c2 − 10c2 ) + ( − 18c3 + 7c3 ) + ( 14c − 12c + 16c )
  • − 22c2 − 9c3 + 18c
− 9c3 − 22c2 + 18c
Add or Subtract:
( 5t5 − 8t3 + 2t − 9 ) − ( 4t2 − 7t + 13 + 21t − t2 ) + ( 9t3 + t5 − 17 + 16t )
  • ( 5t5 − 8t3 + 2t − 9 ) + ( − 4t2 + 7t − 13 − 21t + t2 ) + ( 9t3 + t5 − 17 + 16t )
  • ( 5t5 + t5 ) + ( − 8t3 + 9t3 ) + ( 2t + 7t − 21t + 16t ) + ( − 4t2 + t2 ) + ( − 9 − 13 − 17 )
  • 6t5 + t3 + 4t − 3t2 − 39
6t5 + t3 − 3t2 + 4t − 39

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

Adding and Subtracting Polynomials

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Adding Polynomials 0:07
    • Like Terms
    • Example
  • Subtracting Polynomials 2:44
    • Example
  • Example 1: Add Polynomials 5:11
  • Example 2: Subtract Polynomials 7:30
  • Example 3: Add and Subtract 9:35
  • Example 4: Add and Subtract 12:09