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# Precalculus Chapter 3 Quiz

____ 29. Find all rational zeros of the polynomial

____ 30. Find all the real zeros of the polynomial

____ 31. Find all the real zeros of the polynomial

____ 32. Find all the real zeros of the polynomial

____ 33. Find all of the real zeros of the polynomial and sketch its graph:

____ 34. Find integers that are upper and lower bounds for the real zeros of

____ 35. Find the real and imaginary parts of the complex number 8 + 2i.

a. Real part 8, imaginary part 2
b. Real part 2, imaginary part 8
c. Real part 10, imaginary part i

____ 36. Evaluate the expression (4 + 9i)(11 – 10i) and write the result in the form a + bi.

____ 37. Evaluate the expression and write the result in the form a + bi.

____ 38. Evaluate the expression i 17 and write the result in the form a + bi.

____ 39. Evaluate the expression i 64  and write the result in the form a + bi.

____ 40. Evaluate the expression and write the result in the form a + bi.

____ 41. Evaluate the expression and write the result in the form a + bi.

____ 42. Find all solutions of the equation x 2 – 8 x + 25 = 0 and express them in the form a + bi.

a. x = 4, x = –4
b. x = 4 + 3i, x = 4 – 3i
c. x = 3 + 5i, x = 3 – 5i
d. No solutions

____ 43. Find all solutions of the equation and express them in the form a + bi.

a. z = 2 + 5i, z = 2 – 5i
b. No solutions
c. z = –4 + 2i, z = –4 – 2i
d. z = 4, z = –4

____ 44. Factor P completely.

____ 45. Factor the completely and find all its zeros. State the multiplicity of each zero.

a. (multiplicity 1), (multiplicity 1)
b. (multiplicity 2), (multiplicity 1)
c. 7 (multiplicity 2), –7 (multiplicity 2)
d. (multiplicity 1), (multiplicity 1)
e. (multiplicity 2), - (multiplicity 2)

____ 46. Factor the polynomial completely and find all its zeros.

____ 47. Find the polynomial of degree 4 with integer coefficients, and zeros and 2 with 2, a zero of
multiplicity 2.

____ 48. Find the polynomial of degree 4, and zeros and , and constant coefficient 40.

____ 49. Factor the polynomial completely into linear factors with complex coefficients.

____ 50. Find the x- and y-intercepts of the rational function

a. x-intercept (6, 0), y-intercept (0, –1)
b. x-intercept (6, 0), y-intercept (0, –3)
c. x-intercept (1, 0), y-intercept (0, 6)
d. x-intercept (–1, 0), y-intercept (0, 6)
e. x-intercept (–6, 0), y-intercept (0, 0)

____ 51. Use transformations of the graph of to graph the rational function

____ 52. Use transformations of the graph of to graph the rational function

____ 53. Find the intercepts and asymptotes of the rational function

a.

 x-intercept y-intercept horizontal asymptote vertical asymptote

b.

 x-intercept y-intercept horizontal asymptote vertical asymptote

c.

 x-intercept y-intercept horizontal asymptote vertical asymptote

d.

 x-intercept y-intercept horizontal asymptote vertical asymptote

e.

 x-intercept y-intercept horizontal asymptote vertical asymptote

____ 54. Determine the correct graph of the rational function

____ 55. Find the slant asymptote of the function

____ 56. Given the function, , identify another function with the same end behavior.

____ 57. Find a polynomial that has the same end behavior as the rational function .

____ 58. Find a polynomial that has the same end behavior as the rational function

____ 59. The rabbit population on Mr. Jenkins' farm follows the formula:

For this formula, t > 0 is the time in months since the beginning of the year. What is the eventual population
of rabbits?

a. 4500 rabbits
b. 5750 rabbits
c. 5000 rabbits
d. 5500 rabbits
e. 6000 rabbits

____ 60. After a certain drug is injected into a patient, the concentration C of the drug in the bloodstream is monitored.
At time t > 0 (in minutes since the injection), the concentration (in mg/L) is given by the equation:

What is the eventual concentration of the drug?
a. 0 mg/L
b. 1 mg/L
c. 2 mg/L
d. 5 mg/L
e. 2.5 mg/L