BELL-WORK

1. BELL-WORK Gateway Bell-Work # 33,34 TB pg 490 #28,34

2. Reminders Exam 3.1 will be on Monday! 3rd Nine Weeks project is due Monday!

3. HW 3.3 HW 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

4. HW 3.3(d) Solutions 1. x2 + 11x + 24 2. y2 + 3y – 28 8. 15t2 – 13t + 2 26. 3w2 + 21w + 36 27. 54c2 – 66c + 16 31. x3 + x2 – 2x + 12 6x3–2x2 – 26x + 24

5. Guiding question: How are polynomials multiplied?

6. Real-World Polynomials Each 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.

7. Real-World Polynomials Each 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.

8. Real-World Polynomials Each 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

9. Real-World Polynomials Each 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.

10. Real-World Polynomials Each 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

11. Real-World Polynomials Each 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

12. Real-World Polynomials The 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

13. Real-World Polynomials Suppose 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 = 300,000 Profit = 3,400,000

14. Real-World Polynomials TB pg 489 # 4 Answer = x2 + 2x – 15 TB pg 490 #35 Answer = x2 + 200x + 9375

15. Real-World Polynomials Libby 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.

16. Real-World Polynomials Libby 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.

17. Real-World Polynomials Libby 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.

18. Real-World Polynomials Libby 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.

19. Real-World Polynomials Libby 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.

20. Real-World Polynomials Libby 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.

21. Real-World Polynomials Libby 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

22. Real-World Polynomials Libby 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.

23. Real-World Polynomials Libby 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.

24. Real-World Polynomials Libby 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

25. Find the Area of the Shaded Region

26. Find the Area of the Shaded Region Area of shaded = Area of whole – Area of un-shaded Area of big rectangle = (3x + 2)(2x – 1) = 6x2 + x – 2 Area of little rectangle = x(x + 3) = x2 + 3x Area of shaded = 6x2 + x – 2 – (x2 + 3x) = 5x2 – 2x – 2

27. Who wants to answer the Guiding question? How are polynomials multiplied?