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Simplifying and Factoring Expressions

1. Simplify.

2. Write in descending-exponent form, and give the degree.
x5 + 9x7 - 1

3. Find the value of the polynomial 6x - 1 when x = 3 and when x = -3.

4. Simplify. Write your answer with only positive exponents.
m2m-10

5. Subtract 2x - 3x2 + 5x3 from 5x3 + 4x - x2.

6. Multiply. 3xy2(5xy - 4x + 6y)

7. Multiply. (2x - 5y)(3x - y)

8. Multiply. (2m - n)2

9. Divide.

10. Divide.

11. Find the greatest common factor. 16b9, 24b2, 48b10

12. Factor. 12x4y3 + 16x3y3 - 20x3y4

13. Factor completely. x2 - 11x + 18

14. Factor completely. x3 + 6x2 + 5x

15. Factor by grouping. x3 - 5x2 + 2x - 10.

16. Factor completely. 15x2 - 21x + 6

4 points
17. Give an example of using polynomials in "real life" applications.

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