6.1.3 Multiplying Polynomials - Worksheet
Example 1 and 2: Find each product. 1. − 4 c 2 d 3 (5 cd 2 + 3 c 2 d )
2. 3 x 2 (2 y + 5 x )
3. xy (5 x 2 + 8 x − 7)
4. 2 xy (3 x 2 − xy + 7)
5. ( x − y )( x 2 + 2 xy − y 2 )
6. (3 x − 2)(2 x 2 + 3 x − 1)
7. ( x 3 + 3 x 2 + 1)(3 x 2 + 6 x − 2)
8. ( x 2 + 9 x + 7)(3 x 2 + 9 x + 5)
9. A businessman models the number of items (in thousands) that his company sold from 1998 through 2004 as N ( x ) = − 0.1 x 3 + x 2 − 3 x + 4 and the average price per item (in dollars) as P ( x ) = 0.2 x + 5, where x represents the number of years since 1998. Write a polynomial R ( x ) that can be used to model the total revenue for this company.
Example 3: Find each product. 10. ( x − 5 y ) 2
11. ( x + 2) 3
12. ( x − 3 y ) 3
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