1. Factor the following polynomial completely: f(x) = x4 -5x2 -14 A. f (x) = (x - V7)(x +v7)(x - v2)(x+ v2) B. f (x) = (x - V7i) (x+ V7i)(x - v2)(x+ v2) C. f ( x) = (x - V7) (x + v7)(x - VZi)(x+ v2i) D. f (x) = (x - 7)(x+7)(x -2)(x+2) E. None of the above 2. Find the zeros of the following polynomial function: f (x) = x5 -5x3 - 36x A. x = 0, x = 3, x = 12, x = i,x = -i B. x = 0, x = -3, x = 3, x = 2, x = -2 C. x = 0, x = -3 multiplicity 2, x = 2 multiplicity 2 D. x = 0,x = -3, x = 3, x = 2i, x = -2i E. x = 0,x = -3i, x = 3i, x = 2, x = -2 F. None of the above 3. Factor the polynomial f(x) = x3 - 4x2 - 7x + 10 given that f (1) = 0. A. f(x) = (x -1)(x -2)(x+5) B. f(x) = (x+1)(x+5)(x+2) C. f(x) = (x -1)(x -5)(x+2) D. f(x) = (x+1)(x-1)(x - 10) E. None of the above4. Find the third-degree polynomial function f (x) with real coefficients that has 2 and 4 31' as zeros and such that f(0) = 50. A. f(x)=x36x2+9x+50 B. f(x) = 2x3 10x2 + 16x + 50 C. f(x)=x3 10x2+41x+50 D. f(x) = $113 + 6962 +396 + 50 E. None of the above 5. Find a fourth-degree polynomial function f (x) with real coefficients that has 2,2, and i as zeros and such that f(3) = 150. A. f(x) = %(x4 5x2 + 4) B. f(x) = %(x4 3x2 4) C. f(x) = 3(x4 3x2 4) D. f(x) = %(x4 5962 +4) E. None of the above 6. Find a fourth-degree polynomial function f (x) with real coefficients that has the zero 2 with multiplicity 2, the zero 31' and y-intercept 36. A. f(x) = 2(x 2)2(x2 + 9) B. f(x) = 2(x + 2)2(x2 + 9) 0. me) = $0: 2W2 + 9) D. f(x) = (x 2m 3F E. None of the above 7. Find the polynomial function represented by the following graph: A. f(x) = $0: + 1)(x 2)2(x 3)3 B. f(x) = 2(x + 1)3(x 2)(x 3)2 0. f(x) = ax 1)3(x + 2)(x + 3)2 D. f(x) = 2(x + 1)(x 2)3(x 3)2 E. f(x) = (x + 1)3(x 2)(x 3)2 F. None of the above 8. Find the (least) degree of the polynomial that can be represented by the following graph: A. Polynomial of 2nd degree B. Polynomial of 4th degree C. Polynomial of 31\"d degree D. Polynomial of 5th degree E. Polynomial of 7th degree F. None of the above 9. The graphs of fth-degree polynomial functions are shown. Which graph represents a fth-degree polynomial function with three distinct real zeros and two complex ones? A. B. C. D. E. None of the above. 10. Find the domain of the following rational function: 3x - 2 f (x) = x2 - 9 A. (-00, 9) U (9, 00) B. (-00, -3) U (-3,3) U (3, 00) C. (-co, ?) U (2,00) D. (-00, 00) E. None of the above 11. Find the vertical asymptote(s) of the following rational function: x2 - 3x -4 f (x) = x2 - 4x - 12 A. x = 4, x =-1 B. x = 6, x = -2 C. x = -6 D. x = -4 E. There is no vertical asymptote F. None of the above 12. Find the vertical asymptote(s) of the following rational function: x2 - 25 f (x ) = (x - 5) (x2 + 1) A. x = 5 B. x = 5, x = -5 C. x = -5 D. x =-1,x =1 E. There is no vertical asymptote F. None of the above13. Find the hole(s) of the following rational function: 26225 \"'0' (x5)(x2+1) A.x=5 B.x=5 C.x=1 D.x=1 E. There are no holes F. None of the above 14. Find the horizontal asymptote of the following rational function: 3x32x+1 f0\") (x4)(x2+9) A.y=% B.y=3 0.37:; D.y=0 E. There is no horizontal asymptote. F. None of the above 15. Find the x-intercept(s) of the following rational function: x2 4x + 3 \"'0 ' W A. x = 1,x = 3 B. x = 1 C. x = 3 D. x = 1,): = . There are no x-intercepts E F. None of the above \f17. Find the equation of the rational function represented by the following graph: 3 21 A. f(x)= 5:14) 3 2 B. f(x) = x2\"; 3 2 0' f(x) = xiii-4 24 D. for) = x2 E. for) = 30H) F. None of above 18. Find the slant asymptote of the following rational function: x24x5 f(x) x_3 A.y=x5 B.y=x+1 C.y=x+5 D.y=x1 E.y=x3 F. None of the above 19. Find the vertical asymptote of the rational function in question #183 A.x=5 B.x=1 C.x=1 D.x=5 E.x=3 F. None of the above 20. Which graph represents the rational function in question #18? x24x5 x3 f (X) = Hint: Find the x-intercepts and use the asymptotes you found in the previous questions #18 and #19. A. B. E. None of the above