2.  How do you multiply polynomials?

3.  1) 2x 3 (x 3 + 3x 2 – 2x + 5)  2) 3x 2 (2x 3 – x 2 + 4x – 3)  3) x(7x 2 + 4)

4.  1) (x – 4)(3x + 2)2) (a + 3)(2a + 1)  3) (4n – 1)(n + 5)4) (3a + 4)(a – 2)  5) (4b – 5)(b – 2)6) (x + 4)(2x – 1)  7) (4a + 3)(a + 2)

5.  1) (t + 5)(t – 5)2) (3x + y)(3x – y)  3) (x + 10)(x – 10)4) (2x + 1)(2x – 1)  5) (x + 3y)(x – 3y)6) (4x + y)(4x – y)

6.  1) (3x + 4) 2 2) (5x – 2y) 2  3) (x + 3) 2 4) (2x + 1) 2  5) (4x – y) 2 6) (3m + n) 2  7) (2x + 5) 2 8) (3x – y) 2

7.  1) (b 2 + 6b – 7)(3b – 4)  2) (2x 2 + 5x – 1)(4x – 3)  3) (a 2 + 3a – 4)(2a + 3)  4) (2x 2 – x – 2)(3x – 1)  5) (x 2 + 2x + 1)(x + 2)  6) (3y 2 – y + 5)(2y – 3)

8.  1) The dimensions of a rectangle are x + 3 and x + 2. What is the area of the rectangle?  2) A rectangle has dimensions x + 3 and x + 5. What is the area of the rectangle?  3) A rectangle has dimensions x + 5 and x + 9. What is the area of the rectangle?

9.  4) You are designing a rectangular skateboard park on a lot that is on the corner of a city block. The park will have a walkway along two sides. The dimensions of the lot and the walkway are shown in the diagram. Page 564.  Write a polynomial that represents the area of the skateboard park.  What is the area of the park if the walkway is 3 feet wide?

10.  5) You are planning to build a walkway that surrounds a rectangular garden that has dimensions of 10 ft by 9 ft. The width of the walkway around the garden is the same on every side.  Write a polynomial that represents the combined area of the garden and walkway.  Find the combined area when the width of the walkway is 4 feet.

11.  How do you multiply polynomials?