I need these questions provided in the pictures answered. Thank You!

Select the response that best completes the statement or answers the question. Use this division problem to answer questions 12. (1':4 +313 +2X2 '9X+15)+ (32 '3) 1. Using long division. what is the quotient? . x2+2 . x2+3x 1 . x2+3x+5 . x2+6x+2 a b c d 2. What is the remainder? . 12 .0 . 3x+15 3D pawn: Use this division problem to answer questions 3-4. (1: 3x3 )+ (1:2 +1!) 3. Using long division. what is the quotient? . 3x+3 . 3x+4 . 3x4 . 3x3 QGD'B) 4. What is the remainder? a. 2x b. -2x C. 4 d. -4 Use this division problem to answer questions 5-7. (x3 + x2 -1)+(x+2) 5. Using synthetic division, what is the number written to the left of the synthetic division? a. -2 b. -1 c. 2 d. 1 6. What is the bottom line in the synthetic division? a. -2 b. 10 C. 3 11 d. 1 -1 2 -5 7. What is the answer? a. f(x)=(x+2)(x2+3x+6)+11 b. f(x) = (x+2)(x2 -x+1) -2 c. f(x) = (x+2)(x2+3x+5)+10 d. f(x) = (x+2)(x2 -x+2) -5 Use this division problem to answer questions 8-10. (3x* +x2 -1)+(x -1) 8. Using synthetic division, what is the number written to the left of the synthetic division? a. -3 b. -1 c. 1 d 3 9. What is the bottom line in the synthetic division? a. 3 3 4 4 3 b. 3 4 3|3 c. 3 -2 1 1 - d. 3 -3 -2 2 1 -310. What is the answer? a. f (x)=(x - 1)(3x3+ 3x2 + 4x+ 4)+3 b. f (x)=(x - 1) (3x3 - 3x2 - 2x + 2) - 3 c. f (x)=(x - 1)(3x3 + 4x + 3)+ 3 d. f (x)= (x - 1)(3x3 - 2x+ 1) - 1 For questions 11-12, use synthetic division and the function f (x)=4x3+x2 -3x +2 to find the following values: 11. f (- 3) = a. -106 b. 108 C. -88 d. 110 12. f (2) = a. -40 b. 44 C. -32 d. 32 To answer questions 13-16, use the Rational Root Theorem to determine all rational numbers that might be zeros of the given polynomial function; 2x3 +5x2 -28x -15. 13. What are possible values for - ? a. { +1, +3, +5, +4 +3 2' 5 2 b. { +1, +3, +5, +15, +- NI- NI- N -2' 15 2' 2 c. { +1, +3, +5, +15, + 3 d. { +1, +3, +5, +15, + NIw NIG NIG 15 1514. What is one root? a. N / W w wwiw 15. What is another root? a. 5 b. 1 C. -5 d. -1 16. What is another root? a. b. -15 C. d. To answer questions 17-19, use the Rational Root Theorem to determine all rational numbers that might be zeros of the given polynomial function: x3 -3x2 -15x+9. 17. What are possible values for P ? a. { +1, +3 } b. { +1 +3, 19, c. { +1, +3, 19, +15 } d. +1 13, 19, + 2, + 18. What is one root? a. 319. What are the other roots? a. -3+ 2v3 b. 3+ 2V3 C. -3+ V6 d. 3+ 16 Use the function x3 +2x2 - 5x - 6 to answer questions 20-22. 20. What is the y-intercept? a. 0 b. -6 C. 1 d. 6 21. What are the zeros? a. 3, 1, -2 b. -3, -1, 2 c. -3, 1, 2 d. 3, -1, -222. Which is the correct graph of the function? b. C. d. Use the function x - xto answer questions 23-25. 23. What is the y-intercept? a. -1 b. 3 . 1 C. d. 0 24. What are the zeros? a. 0, 1, 1 b. 0, -1, -1 C. 1, 1, -1 d. 0, -1, 125. Which is the correct graph? a. b. d. 26. Find the domain of f(x)- x2 -1 x2 -7x +6 a. { x [x* -6 or -1 } b. { x x * 3 or -4 } c. { x |x # 6 or 1 } d. { x |x * -3 or 4 }27. Find the LCD of x x _ 2(x+1) x+2 x+2 a. (x+2) b. x + 2 C. X d. x (x + 2) 28. Find the solution of x +- X 2 (x + 1) x +2 x+2 a. b. 2 c. 1 and -2 d. -1 and 2 29. Find the horizontal asymptote of - 1 x 2 - x a. y = 1 b. x = 0 c. y = 0 d. x = 1 30. Find the vertical asymptote of X- 1 x 2 - x a. y = 1 b. x = 1 c. y = 0 d. x=0 31. For the function X - 1 x2 -x , a hole a. does not exist. b. is atx = 1. C. is atx = -1. d. is atx = 0.32. What is the correct graph of x 2 - x a b. C. d. 33. What is the horizontal asymptote of 4 - X , x+3 a. x= -3 b. y= -3 C. y = -1 d. x =-1 34. What is the vertical asymptote of - 4 - X 7 x+3 a. y = -3 b. x= -3 C. y = -1 d. x= -135. For the function 4-X x+3 a hole a. does not exist. b. is atx = -1. C. is atx = -3. d. is at x = 4. 36. What is/are the horizontal asymptote(s) for the function xz + 2x 2 x3 -9x a. x = 3 and -3 b. y = 3 and -3 c. y = 0 d. x =0 37. What (is)are the vertical asymptote(s) for the function- x2 + 2x 2 x -9x a. x = 3 and -3 b. y = 3 and -3 c. y = 0 d. x=0 38. Where is the hole in the function * + 2x , x3 -9x a. atx = 0 b. atx = 3 c. atx = -3 d. It does not exist. To answer questions 39-42, use the method of finding intervals to find the solution set of the inequality 3x s - -1-8x x - 2 . 39. Where does the related function have a vertical asymptote? a. y =-1 b. x = 2 C. X=-1 d. y = 240. Where does the related function have a cut point? C. I-N 41. Where does the related function have another cut point? W/ - C. co I 42. What is the solution set? a. {x |-12} To answer questions 43-46, use the method of finding intervals to find the solution set of this inequality. x > 3(2x -1) x+2 43. Where does the related function have a vertical asymptote? a. y=-2 b. x =-2 C. V= 1 d. x = 144. Where does the related function have a cut point? a. -1 b. 2 C. -2 d. 1 45. Where does the related function have another cut point? a. b. C. d. 46. What is the solution set? a. {x|-3 2}. b. {x|-2 3}. c. {x| x 0. 47. What is one cut point? a. 4 b. -6 C. d. 3 48. What is another cut point? a. -1 b. 6 c. 2 d. -12 49. What is another cut point? a. -2 b. 12 . 1 d.50. What is the solution set? a. {x |-62} b. {x x2; Carefully check your answers on this evaluation and make any corrections you feel are necessary. When you are satisfied that you have answered the questions to the best of your ability, transfer your answers to an answer sheet. Please refer to the information sheet that came with your course materials