X+3x ­ (2x + 4x) + 4y) y ­ 7y +(2y

[Pages:3]10.4 Adding and Subtracting Polynomials.notebook

February 17, 2016

Bellwork

Find the following for the polynomial:

Degree:______ Standard Form:___________________________ Leading Coefficient:______ Numbers of terms:______

10.4 Adding and Subtracting Polynomials

Objectives: TSW: 1. Add and subtract polynomials

x2+3x (2x2 + 4x)

y3 7y +(2y2 + 4y)

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Adding Polynomials

1. Add the coefficients by combing like terms 2. Write in standard form

Like terms: Have the same variables and exponents

1. (9x + 4) + (x 7)

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2. (2x2 + 5x 7) + (3 4x2 + 6x)

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Subtracting Polynomials

1. Distribute the subtraction sign 2. Add the coefficients by combing like terms 3. Write in standard form

Like terms: Have the same variables and exponents

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10.4 Adding and Subtracting Polynomials.notebook

3.

4.

(3 2x + 2x2) (4x 5 + 3x2)

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Find the perimeter of the polygon. 3x+5

2x 3x

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Find the perimeter of the polygon.

x + 3y

5x + 4

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Find the missing side length of the shape. 7. P = 16 x + 8

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Find the missing side length of the shape. 8.

x+1

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10.4 Adding and Subtracting Polynomials.notebook

February 17, 2016

9. A quarterback throws a football and the height in feet after t seconds can be modeled by the quadratic function h(t) = 16t2 + 62t + 8 a. What height was the football thrown from?t =( 0)

b. How high will the football be after 2 second?

c. How high is the football after 4 seconds. What does it represent?

10. A toy store must buy rights to a popular game for $1302 to be able to sell it at their store. It then costs an additional $10.25 per each single game that it has on the shelf. The store sells each one of these games for $15.50 to make their money back. a. Determine a function that expresses revenue, R(x).

(Revenue = Money Generated)

b. Determine a function that represents cost, C(x). (Cost to you)

c. Use the function for R(x) and C(x) to determine an equation for the total profit. (Profit = Revenue minus Cost)

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d. Determine the total profit P(x) for 250 games?

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Assignment

10.4 Worksheet

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