5.3 adding and subtracting polynomials · teacher booklet.notebook 2 february 24, 2020 jan 25 8:59...

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5.3 Adding and Subtracting PolynomialsWhy would you ever need to do this? Consider...

A music store rents instruments.

Drum Rental

$55/month + $30 deposit

Kira wants to play drums first semester.

a) What would it cost Kira to rent the drums for 3 months, including the deposit?

b) Write an expression to show the total cost for any number of months, including the deposit.

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$22/month + $20 deposit

Electric Guitar Rental

$55/month + $30 deposit

Drums

Mark wants to play both drums and guitar.

a) Write an expression to show the total cost for renting both instruments for any number of months, including deposits. Can you find a simpler expression?

b) Write an expression to show the difference in cost between the two instruments, including the deposits.

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A. Adding Polynomials

Add 3x - 4 and 2x + 5.

Method 1: Use a Model Method 2: Use Symbols

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Use two methods to add the following:

Method 1 Method 2

Model Symbols

(2a-1) + (6-4a)

(3t2-5t) + (t2+2t+1)

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B.Opposite Polynomials

A number and it's opposite add up to be zero.

An opposite is one that adds to be zero.

What is the opposite of:

2x

2x2 + x - 3

x2 - 1

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C.Subtracting Polynomials

Subtract 3x + 2 from 4x - 1

Method 1: Use a Model

Method 2: Add the Opposite

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Show Us What You Got!

1. (2x - 3) - (-x + 2) 2. (5x2-x+4) - (2x2-3x-1)

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Page 196 # 5-7, 16, 17

Page 197 # 13-15

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D.Applications

1. Simplify

(2x - 3) + (3x - 5) - (-3x - 4)

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2. The perimeter of the following triangle is 6x2 - 7x. Find the missing side.

2x2 + 6x

5x2 + 8x

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Addition Pyramid

5

7

13

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Addition Pyramid

14

­3

6

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Addition Pyramid

3x

5x

2x

TEST QUESTION

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Page 198 # 21, 22, 24, 29

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Test Date:Friday, 

March 2nd

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Test Outline and Review