10.4 Adding and Subtracting Polynomials.notebook
Bellwork
Find the following for the polynomial:
February 17, 2016
10.4 Adding and Subtracting Polynomials
Objectives:
TSW: 1. Add and subtract polynomials Degree:______
Standard Form:___________________________
Leading Coefficient:______
Numbers of terms:______
2
(2x
x +3x ­
2
+ 4x)
y 3 ­
7y
+(2
y 2 +
4y
Dec 12­9:09 AM
Adding Polynomials
)
Dec 12­9:09 AM
1. (9x + 4) + (x ­ 7) 1. Add the coefficients by combing like terms
2. Write in standard form
Like terms: Have the same variables and exponents
Dec 12­9:09 AM
2. (2x2 + 5x ­ 7) + (3 ­ 4x2 + 6x)
Dec 12­9:09 AM
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
Dec 12­9:09 AM
Dec 12­9:09 AM
1
10.4 Adding and Subtracting Polynomials.notebook
February 17, 2016
4. 3. (3 ­ 2x + 2x2) ­ (4x ­ 5 + 3x2)
Dec 12­9:09 AM
Dec 12­9:09 AM
Find the perimeter of the polygon.
Find the perimeter of the polygon.
3x+5
x + 3y
2x
3x
5x + 4
Dec 12­9:09 AM
Dec 12­9:09 AM
Find the missing side length of the shape.
Find the missing side length of the shape.
8. 7. P = 16 x + 8
x+1
Dec 12­9:09 AM
Dec 12­9:09 AM
2
10.4 Adding and Subtracting Polynomials.notebook
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?
February 17, 2016
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)
d. Determine the total profit P(x) for 250 games?
Mar 3­8:16 AM
Mar 3­8:16 AM
Assignment
10.4 Worksheet
Dec 12­9:09 AM
Feb 5­12:38 PM
3