What are polynomials used for?

" Since polynomials are used to describe curves of various types, people use them in the real world to graph curves. For example, roller coaster designers may use polynomials to describe the curves in their rides. Combinations of polynomial functions are sometimes used in economics to do cost analyses, for example." Also, you might find this interesting "Engineering Careers. Aerospace engineers, chemical engineers, civil engineers, electrical engineers, environmental engineers, mechanical engineers and industrial engineers all need strong math skills. Their jobs require them to make calculations using polynomial expressions and operations."

why is it important to learn polynomials?

It is actually used in a lot of careers in the future, like engineering, finance, or other math-related fields.

What method can I use to remember to put in my negative n positive sign , I’m having a little trouble with negative n positive.

- * - = + - * + = - + * + = + That's for multiplication rules. - * + is equal to + * - As for addition and subtraction, whichever sign's number is larger, they will take that sign. Example: -2 - (- 2) = -2 + 2 = 0 I hope this helped!

Main content

Integrated math 3

Course: Integrated math 3 > Unit 1

Lesson 3: Adding and subtracting polynomials

Adding and subtracting polynomials review

Google Classroom

Adding and subtracting polynomials is all about combining like terms. In this article, we review some examples and give you a chance for you to practice the skill yourself.

Adding and subtracting polynomials is an exercise in combining like terms. Let's walk through some examples.

Example 1

Simplify.

(5 h^{3} - 8 h) + (- 2 h^{3} - h^{2} - 2 h)

Rewrite without parentheses:

5 h^{3} - 8 h - 2 h^{3} - h^{2} - 2 h

Group like terms:

(5 h^{3} - 2 h^{3}) - h^{2} + (- 8 h - 2 h)

Simplify:

3 h^{3} - h^{2} - 10 h

Want to see another example? Check out this video.

Example 2

Simplify.

(- w^{3} + 8 w^{2} - 3 w) - (4 w^{2} + 5 w - 7)

Rewrite without parentheses (being careful to distribute the negative):

- w^{3} + 8 w^{2} - 3 w - 4 w^{2} - 5 w + 7

Group like terms:

- w^{3} + (8 w^{2} - 4 w^{2}) + (- 3 w - 5 w) + 7

Simplify:

- w^{3} + 4 w^{2} - 8 w + 7

Want to see another example? Check out this video.

Example 3

Express $E + F$ ‍ as a trinomial.

\begin{aligned} E & = 6 c^{2} - 2 c - 1 \\ F & = - 4 c^{2} + 7 c + 5 \end{aligned}

E + F = (6 c^{2} - 2 c - 1) + (- 4 c^{2} + 7 c + 5)

Rewrite without parentheses and color code like terms:

6 c^{2} - 2 c - 1 - 4 c^{2} + 7 c + 5

Group like terms:

(6 - 4) c^{2} + (- 2 + 7) c + (- 1 + 5)

Simplify:

2 c^{2} + 5 c + 4

Want to see another example? Check out this video.

Practice

Problem 1

Simplify.

(- 3 y^{2} - 5 y - 2) + (- 7 y^{2} + 5 y + 2)

Want more practice? Check out these exercises:

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Hennessey Venom F5
Posted 6 years ago. Direct link to Hennessey Venom F5's post “What are polynomials used...”
What are polynomials used for?
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- Mina
  Posted 6 years ago. Direct link to Mina's post “" Since polynomials are u...”
  " Since polynomials are used to describe curves of various types, people use them in the real world to graph curves. For example, roller coaster designers may use polynomials to describe the curves in their rides. Combinations of polynomial functions are sometimes used in economics to do cost analyses, for example."
  
  Also, you might find this interesting "Engineering Careers. Aerospace engineers, chemical engineers, civil engineers, electrical engineers, environmental engineers, mechanical engineers and industrial engineers all need strong math skills. Their jobs require them to make calculations using polynomial expressions and operations."
  Comment on Mina's post “" Since polynomials are u...”
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mcallisterjrrandy
Posted 6 years ago. Direct link to mcallisterjrrandy's post “I always forget to put th...”
I always forget to put the negative sign in front of the number if there is one and i get it wrong cause of that
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Who is ready for the new academic year?? lets start off this year strong guys!
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2268ratz
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why is it important to learn polynomials?
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- ana
  Posted 3 years ago. Direct link to ana's post “It is actually used in a ...”
  It is actually used in a lot of careers in the future, like engineering, finance, or other math-related fields.
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This is better than Kumon I must admit
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Makana
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I already learned this in Algebra 1. Some of the other stuff is so hard though.
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sohia paul
Posted 4 years ago. Direct link to sohia paul's post “What method can I use to ...”
What method can I use to remember to put in my negative n positive sign ,
I’m having a little trouble with negative n positive.
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- Victor
  Posted 4 years ago. Direct link to Victor's post “- * - = + - * + = - + * +...”
  - * - = +
  - * + = -
  + * + = +
  That's for multiplication rules. - * + is equal to + * -
  As for addition and subtraction, whichever sign's number is larger, they will take that sign.
  Example: -2 - (- 2) = -2 + 2 = 0
  I hope this helped!
  Comment on Victor's post “- * - = + - * + = - + * +...”
  (15 votes)
Kylen Meadows
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this class is kind of easy and hard
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