Adding & Subtracting Polynomials LESSON

Adding and Subtracting Polynomials

Let's Talk Terms!

​5 Quick Questions

Multiple Choice

What type of polynomial is this?

• monomial

• binomial

• trinomial

• polynomial

Multiple Choice

2) Degree of

$$2x^2+50$$  is _____

• 50

• 2

• 4

• 1

Multiple Choice

What is the leading coefficient for this polynomial?

$$x^5+3x^7+x+4$$  

• 1

• 3

• 4

• 5

• 7

Multiple Choice

Combine the like terms in the expression: 5y+2+3y+6

• There are no like terms

• 8y+2+6

• 53y+12

• 8y+8

​​Adding Polynomials

​(Finding the sum)

Method 1

• ​Drop the parentheses.

• ​Combine like terms

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​*Start with the highest degree*

​Adding Polynomials

​(Finding the sum)

​Method 2

• ​Place each parentheses on top of each other with like terms under like terms.

Multiple Choice

Find the sum

• 9n³ + 4n

• 7n³ + 6

• -3n³ + 2

• 7n⁶ + 6

Multiple Choice

Find the sum

(2x + 5y) + (3x - 2y)

• 3x + 5y

• 5x + 3y

• 5x + 7y

• 7xy + 1xy

Multiple Choice

Find the sum

(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7 

• 5a³ - 4a² - 14a - 7 

• 5a³ - 4a² - 20a - 7 

• 5a³ - 9a² - 20a - 7

​Subtracting Polynomials

​Finding the difference

​Method 1

• ​Distribute the negative sign to each term in the 2nd set of parenthesis.

• ​Add/combine like terms like before!

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​*Start with the highest degree*

​Subtracting Polynomials

​Finding the difference

​Method 2

• Reverse the sign of each term in the 2nd parentheses.

• ​Add/combine like terms like before!

Multiple Choice

Find the difference

(2x + 5y) - (3x - 2y)

• -x + 3y

• -x + 7y

• 5x + 7y

• 7xy + 1xy

Multiple Choice

Find the difference

(4x²+ x) - (x²+ 2x)

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

Multiple Choice

Find the difference

(5x + x² - 4) - (4x - x² + 6)

• 2x² + x + 2 
• x + 2
• 2x² + x - 10 
• x - 10 

Multiple Choice

What is the perimeter of the triangle shown?

• 9r²+r-5

• 9r⁴+r²-4

• 9r²-r+4

• 9r²+r-4

Poll

After today's review, how would you rate your understanding of adding and subtracting polynomials?

• 4

  I can explain how to do this. I can teach others. I am an expert.

• 3

  I can do this independently. I have a good understanding.

• 2

  I can do this with help or an example. There are parts I still do not understand

• 1

  I do not understand yet, but am starting to learn. I need help learning this.