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Page 1: Polynomial Functions Name: Factored Form · Polynomial Functions Name: Factored Form Date: 1.Sketch the graph of the following polynomial functions. a) f(x) = (x 1) (x+1)2 b) f(x)

Polynomial Functions Name:

Factored Form Date:

1. Sketch the graph of the following polynomial functions.

a) f(x) = − (x− 1) (x+ 1)2 b) f(x) = (x− 1) (x+ 1)3 (x+ 2)2

2. Sketch the graph of the following polynomial functions.

a) f(x) = (x− 1) (x+ 2)2 b) f(x) = (x− 2) x3 (x+ 1)2

3. Sketch the graph of the following polynomial functions.

a) f(x) = (x− 1) (x+ 2)2 b) f(x) = − (x− 2) (x+ 1)5

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Page 2: Polynomial Functions Name: Factored Form · Polynomial Functions Name: Factored Form Date: 1.Sketch the graph of the following polynomial functions. a) f(x) = (x 1) (x+1)2 b) f(x)

4. Sketch the graph of the following polynomial functions.

a) f(x) = (x− 2) (x+ 2)2 b) f(x) = − (x− 1) (x+ 1)5

5. Sketch the graph of the following polynomial functions.

a) f(x) = − (x− 2) (x+ 1)2 b) f(x) = (x− 2) x3 (x+ 1)2

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Page 3: Polynomial Functions Name: Factored Form · Polynomial Functions Name: Factored Form Date: 1.Sketch the graph of the following polynomial functions. a) f(x) = (x 1) (x+1)2 b) f(x)

6. Sketch the graph of the following polynomial functions.

a) f(x) = (x− 2) (x+ 2)2 b) f(x) = (x− 1) x3 (x+ 1)2

7. Sketch the graph of the following polynomial functions.

a) f(x) = (x− 1) (x+ 2)2 b) f(x) = − (x− 2) (x+ 1)5

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Page 4: Polynomial Functions Name: Factored Form · Polynomial Functions Name: Factored Form Date: 1.Sketch the graph of the following polynomial functions. a) f(x) = (x 1) (x+1)2 b) f(x)

8. Sketch the graph of the following polynomial functions.

a) f(x) = − (x− 1) (x+ 2)2 b) f(x) = − (x− 1) x3 (x+ 1)2

9. Sketch the graph of the following polynomial functions.

a) f(x) = − (x− 2) (x+ 1)2 b) f(x) = − (x− 2) x3 (x+ 2)2

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Page 5: Polynomial Functions Name: Factored Form · Polynomial Functions Name: Factored Form Date: 1.Sketch the graph of the following polynomial functions. a) f(x) = (x 1) (x+1)2 b) f(x)

10. Sketch the graph of the following polynomial functions.

a) f(x) = − (x− 1) (x+ 1)2 b) f(x) = − (x− 1) (x+ 1)3 (x+ 2)2

11. Sketch the graph of the following polynomial functions.

a) f(x) = (x− 1) (x+ 2)2 b) f(x) = (x− 2) (x+ 1)5

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Page 6: Polynomial Functions Name: Factored Form · Polynomial Functions Name: Factored Form Date: 1.Sketch the graph of the following polynomial functions. a) f(x) = (x 1) (x+1)2 b) f(x)

12. Sketch the graph of the following polynomial functions.

a) f(x) = − (x− 1) (x+ 1)2 b) f(x) = − (x− 2) x3 (x+ 2)2

13. Sketch the graph of the following polynomial functions.

a) f(x) = − (x− 2) (x+ 1)2 b) f(x) = (x− 1) (x+ 1)3 (x+ 2)2

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Page 7: Polynomial Functions Name: Factored Form · Polynomial Functions Name: Factored Form Date: 1.Sketch the graph of the following polynomial functions. a) f(x) = (x 1) (x+1)2 b) f(x)

14. Sketch the graph of the following polynomial functions.

a) f(x) = − (x− 1) (x+ 2)2 b) f(x) = (x− 1) (x+ 1)5

15. Sketch the graph of the following polynomial functions.

a) f(x) = − (x− 1) (x+ 2)2 b) f(x) = (x− 1) x3 (x+ 2)2

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Page 8: Polynomial Functions Name: Factored Form · Polynomial Functions Name: Factored Form Date: 1.Sketch the graph of the following polynomial functions. a) f(x) = (x 1) (x+1)2 b) f(x)

16. Sketch the graph of the following polynomial functions.

a) f(x) = − (x− 2) (x+ 1)2 b) f(x) = (x− 2) x3 (x+ 1)2

17. Sketch the graph of the following polynomial functions.

a) f(x) = (x− 1) (x+ 1)2 b) f(x) = − (x− 1) x3 (x+ 2)2

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Page 9: Polynomial Functions Name: Factored Form · Polynomial Functions Name: Factored Form Date: 1.Sketch the graph of the following polynomial functions. a) f(x) = (x 1) (x+1)2 b) f(x)

18. Sketch the graph of the following polynomial functions.

a) f(x) = − (x− 1) (x+ 2)2 b) f(x) = (x− 2) (x+ 1)3 (x+ 2)2

19. Sketch the graph of the following polynomial functions.

a) f(x) = (x− 2) (x+ 1)2 b) f(x) = (x− 2) x3 (x+ 1)2

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Page 10: Polynomial Functions Name: Factored Form · Polynomial Functions Name: Factored Form Date: 1.Sketch the graph of the following polynomial functions. a) f(x) = (x 1) (x+1)2 b) f(x)

20. Sketch the graph of the following polynomial functions.

a) f(x) = − (x− 1) (x+ 2)2 b) f(x) = − (x− 1) (x+ 1)5

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