BELL-WORKBELL-WORK

Gateway Bell-Work # 33,34

TB pg 490 #28,34

RemindersRemindersExam 3.1 will be on Monday!

3rd Nine Weeks project is due Monday!

HW 3.3HW 3.3HW 3.3 with corrections are due Tuesday!

Practice problems from today’s lesson:

1. Colette is putting a mat of width 3w and a frame of width w around a 16-inch by 48-inch poster. Find an expression for the amount of frame material she needs.

2. Each side of an equilateral triangle has length 2m + 3. Each side of a square has length 3m – 2. Write an expression for the sum of the perimeter of the equilateral triangle and the perimeter of the square.

PW 8-3 # 25-28,39,41

HW 3.3(d) SolutionsHW 3.3(d) Solutions1. x2 + 11x + 24

2. y2 + 3y – 28

8. 15t2 – 13t + 2

26. 3w2 + 21w + 36

27. 54c2 – 66c + 16

31. x3 + x2 – 2x + 12

34. 6x3 – 2x2 – 26x + 24

Guiding question:

How are polynomials multiplied?

Real-World PolynomialsReal-World PolynomialsEach side of an equilateral triangle has length w + 2.

Each side of a square has length 3w – 4. Write an expression for the sum of the perimeter of the equilateral triangle and the perimeter of the square.

Real-World PolynomialsReal-World PolynomialsEach side of an equilateral triangle has length w + 2.

Each side of a square has length 3w – 4. Write an expression for the sum of the perimeter of the equilateral triangle and the perimeter of the square.

Real-World PolynomialsReal-World PolynomialsEach side of an equilateral triangle has length w + 2.

Each side of a square has length 3w – 4. Write an expression for the sum of the perimeter of the equilateral triangle and the perimeter of the square.

Perimeter of triangle =

w + 2 + w + 2 + w + 2

Real-World PolynomialsReal-World PolynomialsEach side of an equilateral triangle has length w + 2.

Each side of a square has length 3w – 4. Write an expression for the sum of the perimeter of the equilateral triangle and the perimeter of the square.

Real-World PolynomialsReal-World PolynomialsEach side of an equilateral triangle has length w + 2.

Each side of a square has length 3w – 4. Write an expression for the sum of the perimeter of the equilateral triangle and the perimeter of the square.

Perimeter of square =

3w – 4 + 3w – 4 + 3w – 4 + 3w – 4

Real-World PolynomialsReal-World PolynomialsEach side of an equilateral triangle has length w + 2.

Each side of a square has length 3w – 4. Write an expression for the sum of the perimeter of the equilateral triangle and the perimeter of the square.

Sum of perimeters = Perimeter of Tri. + Square

= 15w – 10

Real-World PolynomialsReal-World PolynomialsThe volume of a rectangular prism is given by the

expression x3 + 2x2 – 4x + 6. The volume of a smaller rectangular prism is given by the expression 4x3 – 5x2 + 6x – 12. How much greater is the volume of the larger prism?

x3 + 2x2 – 4x + 6 – (4x3 – 5x2 + 6x – 12) =

-3x3 + 7x2 – 10x + 18

Real-World PolynomialsReal-World PolynomialsSuppose the cost in dollars of producing x model kits is

given by the polynomial 500,000 + 2x and the revenue generated from sales is given by the polynomial 30x – 0.00005x2. Find a polynomial expression for the profit from making and selling x model kits, and evaluate the expression for x = 300,000.

Profit = Revenue – Cost = 30x – 0.00005x2 – (500,000 + 2x)

= -0.00005x2 + 28x – 500,000 When x = 300,000Profit =

3,400,000

Real-World PolynomialsReal-World PolynomialsTB pg 489 # 4

Answer = x2 + 2x – 15

TB pg 490 #35

Answer = x2 + 200x + 9375

Real-World PolynomialsReal-World PolynomialsLibby is putting a mat of width m and a frame of

width f around an 8-inch by 10-inch picture. Write an expression for the perimeter of the frame.

Real-World PolynomialsReal-World PolynomialsLibby is putting a mat of width m and a frame of

width f around an 8-inch by 10-inch picture. Write an expression for the perimeter of the frame.

Real-World PolynomialsReal-World PolynomialsLibby is putting a mat of width m and a frame of

width f around an 8-inch by 10-inch picture. Write an expression for the perimeter of the frame.

Real-World PolynomialsReal-World PolynomialsLibby is putting a mat of width m and a frame of

width f around an 8-inch by 10-inch picture. Write an expression for the perimeter of the frame.

Real-World PolynomialsReal-World PolynomialsLibby is putting a mat of width m and a frame of

width f around an 8-inch by 10-inch picture. Write an expression for the perimeter of the frame.

Real-World PolynomialsReal-World PolynomialsLibby is putting a mat of width m and a frame of

width f around an 8-inch by 10-inch picture. Write an expression for the perimeter of the frame.

Real-World PolynomialsReal-World PolynomialsLibby is putting a mat of width m and a frame of

width f around an 8-inch by 10-inch picture. Write an expression for the perimeter of the frame.

2m + 2f + 10

Real-World PolynomialsReal-World PolynomialsLibby is putting a mat of width m and a frame of

width f around an 8-inch by 10-inch picture. Write an expression for the perimeter of the frame.

Real-World PolynomialsReal-World PolynomialsLibby is putting a mat of width m and a frame of

width f around an 8-inch by 10-inch picture. Write an expression for the perimeter of the frame.

Real-World PolynomialsReal-World PolynomialsLibby is putting a mat of width m and a frame of

width f around an 8-inch by 10-inch picture. Write an expression for the perimeter of the frame.

8f + 8m + 36

Find the Area of the Shaded RegionFind the Area of the Shaded Region

Find the Area of the Shaded RegionFind the Area of the Shaded Region

Area of shaded = Area of whole – Area of un-shadedArea of big rectangle = (3x + 2)(2x – 1)

= 6x2 + x – 2Area of little rectangle = x(x + 3)

= x2 + 3xArea of shaded = 6x2 + x – 2 – (x2 + 3x)

= 5x2 – 2x – 2

Who wants to answer the Guiding question?

How are polynomials multiplied?