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Simplify

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Write a polynomial in standard form with the given zeros.

1. 2, 4, 5 2. -3, 6, -1, 0 3. -1, -2, -3

Given the polynomials, determine the zeros and state the multiplicity.

4. ( ) ( )3 2

( ) 2 5f x x x x= − + 5. ( )46

( ) ( 1) 2g x x x= − +

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Find the domain and range of the following functions.

6. 25y x= − 7. ( )

22 1y x= − −

Use a graphing calculator to find the zeros of the following polynomials. (Solve the equation by

graphing).

8. 3 26 3 10 0x x x+ + − = 9. 2

7 15 0x x− + =

Determine if the binomial is a factor of the polynomial.

10. 3 25 2 8x x x+ + − ; (x – 1) 11. 4 3 2

2 13 14 24x x x x+ − − + ; (x – 2)

Find the rational roots of each polynomial.

12. 3 25 2 8 0x x x+ + − = 13. 4 3 2

2 13 14 24 0x x x x+ − − + =