Full Graded Quiz Unit 3 - Selection of my best coursework PDF

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Selection of my best coursework...

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MATH 1201 Graded Quiz Unit 3 (All Questions) University of the people Question 1 What is f(x) = x 8 - 1 divided by x - 1? a. x 2 + 1 b. x 2 – 1 c. x 7 + x 6 + x 5 + x 4 + x 3 + x 2 + x + 1 d. x 6 + x 5 + x 4 + x 3 + x 2 + x + 1 e. x 7 + x 6 + x 5 + x 4 + x 3 + x 2 + x Question 2 What are the possible rational roots of f(x) = x 4 -7x + 8? a. {8} b. {+-1, +-2, +-7, +-8} c. {+-1, +-2,+-8} d. {+-1, +-8} e. {+-1, +-2, +-4, +-8} Question 3 If A = 1 – i, B = 2 – i, C = 1 + i, and D = 2 + i then ABCD would be? a. 4 b. -4 c. 10 d. -10 e. None of these Question 4 If A = 4 + 2i and B = 7 -3i, A – B = ? a. -3 + 5i b. -3 c. -3 – i d. -3 + i e. 1 + 9i Question 5 The real roots of (x 4 – 1).(x 4 + 2) = 0 are: a. -2, 1 b. -1, 2 c. 1, 2 d. -1, 1 e. None of these

Question 6 What are the possible rational roots of f(x) = 5x 4 - 173x 3 -16x 2 -7x -15, according to the rational root theorem? “+-“ means “plus or minus”. a. {+-1, +- 5} b. {+- 1, +- 3, +- 5, +- 15} c. {+- 1, +- 5, +- 1/3, +- 5/3, +- 1/5, +- 1/15} d. {+- 1/5, +- 3/5, +-1, +- 3, +- 5, +- 15} e. None of these Question 7 If A = 3 and B = 4 + i, A/B = ? a. 3/4 b. 12/17 – (3/17)i c. 12/5 + (3/5)i d. 12/17 + (3/17)i e. None of these Question 8 The zeroes of f(x) = x 2 – 8x + 17 are? a. {8, 17} b. {4 +- i} c. {-4 +- i} d. {17 +- 8i} e. None of these Question 9 What are the least, and most, number of distinct real roots of a 6th degree polynomial? a. The least is 0, the most is 6 b. The least is 1, the most is 5 c. The least is 3, the most is 6 d. The least is 6, the most is 6 (6 either way) e. None of these Question 10 What is i 103 ? a. 1 b. -1 c. i d. -i e. None of these Question 11 The graph of f(x) = x 3 -6x 2 + 4x +1 hits the x-axis how many times? a. 0 b. 1 c. 2 d. 3 e. 4

Question 12 The graph of f(x) = x 2 + 6x + 10 hits the x-axis how many times? Select one: a. 0 b. 1 c. 2 d. 3 e. 4 Question 13 If I know a real root of f(x) = x 3 -6x 2 + 11x – 6 is neither 1, even, or negative, a good guess would be? a. 0 b. 3 c. 6 d. 11 e. None of these Question 14 The graph of f(x) = 6x 5 – 5x 4 + 12x 3 +8x 2 +2x + 9 would have, at most, how many x-intercepts? a. 0 b. 2 c. 5 d. 6 e. 9 Question 15 If f(x) = x 8 - 1 is divided by x -2, the remainder would be? a. -1 b. 0 c. 1 d. 255 e. None of these Question 16 The remainder of x 8 + 1 divided by x + 1 is: a. 1 b. 2 c. 3 d. 4 e. None of these Question 17 The vertex of the parabola y = (x – 1) 2 – 5 is: a. (-1, -5) b. (-1, 5) c. (1, 5) d. (1, -5) e. None of these

Question 18 If f(x) has odd degree and negative leading coefficient, as x goes to -∞, then f(x) would go to? a. -∞ b. 0 c. 1 d. ∞ e. None of these Question 19 If A = 3 + 2i and B = 4 – i, then AB would be? a. 14 + 5i b. 10 + 5i c. 7 + I d. 10 – 5i e. None of these Question 20 The x-intercept of y = 4x – 8 is? a. (0, -8) b. (4, -8) c. (0, 0) d. (2, 0)...