1. Sarah Byom and Samantha Kingery

2. * 1. Divide using synthetic division: X 3 -5x 2 +3x X+1 A. x 2 -6x+9+ -11/x+1B. x 2 -4x+1 C. x 2 +6x+3D. x2-6x+3+-11/x+1

3. A.

4. * 2. Divide using synthetic division: 9x 3 +7x 2 -3x X-10 A. 9x 3 +97x+967-9670/x-10 B. 9x 2 +97x+967+9670/x-10 C. 3x 2 -97x-9676 D. 3x 2 -97x+9670

5. B.

6. * 3. Use the remainder theorem to find the remainder when f(x) is divided by x-k. f(x)=2x 2 -3x+1; k+2 A. 15B. 9 C. 18D. 3

7. D.

8. * 4. Use the remainder theorem to find the remainder when f(x) is divided by x-k. f(x)=x 3 -x 2 +2x-1; k=-3 A. 41B. -43 C. -46D. -32

9. B.

10. * 5. Use the factor theorem to determine whether the first polynomial is a factor of the second polynomial. X-1; f(x)=x 3 -x 2 +x-1 A. No solutionB. no C. yesD. 0

11. C.

12. * 6. Use the factor theorem to determine whether the first polynomial is a factor of the second polynomial. X-2; f(x)=x 3 +3x-4 A. No solutionB. no C. yesD. 0

13. B.

14. * 7. What is 5x 4 -3x+1 divided by 4-x? A. -5x 3 -20x 2 -80x-317+-1269/4-x B. 5x 3 +20x 2 +80x+317-1296/4-x C. 15x 2 -40x-228-1193/4-x D. 25x 3 -3x 2 +45x-1274

15. A.

16. * 8. What is the remainder of f(x)=2x 3 -3x 2 +4x-7; k=2 A. 20B. 2 C. 10D. 5

17. D.

18. * 9. Find the real zeros of the function. Identify as rational or irrational. f(x)=2x 3 -3x 2 -4x+6 A. Rational zero: 3/2Irrational zeros:+/- 2 B. Rational zero: none Irrational zeros: none C. Rational zeros: 2 & 3 Irrational zero: 3/2 D. Rational zeros: 3/2 Irrational zeros: none

19. A.

20. * 10. Find the real zeros of the function. Identify as rational or irrational. f(x)=2x 4 -7x 3 -2x 2 -7x-4 A. Rational zero: 1/2Irrational zeros: 1 B. Rational zero: 1 Irrational zeros: none C. Rational zeros: 2 & 4 Irrational zero: 3/2 D. Rational zeros: -1/2 & 4 Irrational zeros: none

21. D.