Algebra 2 Name _____________________

Review Worksheet (Sec 8-1, 8-2, 8-5) Period ___

[Partial Worksheet]

Determine if each graph represents an even- or odd-degree function. Then state how many real zeros each function has. (not enough information)

1. 2. 3.

Find g(x-2) for each function.

4. g(x)=7x-3 5. g(x)=x²+3 6. g(x)=2x²

Find an equation for the graphs shown. (not enough information)

7. 8.

Use synthetic substitution to find the given values.

9. f(2) for f(x)=2x³-4x²+x-1 10. f(-3) for f(x)=x²-x+4

11. f(-1) for f(x)=3x⁴-2x³-4x²+5x-2

Given the polynomial and one of its factors, find the remaining factors.

12. x³-8x²+x+42;x-7 13. x³+4x²-x-4;x+4

Find all of the rational zeros.

14. f(x)=x³+x²-10x+8 15. f(x)=x³-7x+6

16. f(x)=2x³-x²-5x-2 17. f(x)=x⁴+2x³-9x²-2x+8

Find all zeros (rational, irrational, and/or imaginary).

18. f(x)=2x⁴+3x³-13x²+6 19. f(x)=x³ +3x-14