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BELL-WORK. Gateway Bell-Work # 33,34 TB pg 490 #28,34. Reminders. Exam 3.1 will be on Monday! 3 rd Nine Weeks project is due Monday!. HW 3.3. HW 3.3 with corrections are due Tuesday! Practice problems from today’s lesson: - PowerPoint PPT Presentation
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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?