If f(x) has odd degree and negative leading coefficient, as x goes to -, then f(x) would go to?

Select one:

a. -

b. 0

c. 1

d.

e. None of these

2.If A(x) = x - 1, B(x) = x² + 1, C(x) = x + 1, and D(x) = x⁴ + 1 then A(x)B(x)C(x)D(x) is:

Select one:

a. x⁸

b. -x⁸

c. x⁸- 1

d. x⁸ + 1

e. None of these

3.What is i¹⁰³?

Select one:

a. 1

b. -1

c. i

d. -i

e. None of these

Question 4

Question text

What are the possible rational roots of f(x) = 5x⁴ - 173x³-16x² -7x -15, according to the rational root theorem?"+-" means "plus or minus".

Select one:

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 5

Question text

If A = 3 and B = 4 + i, A/B = ?

Select one:

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 6

What are the least, and most, number of distinct real roots of a 6th degree polynomial?

Select one:

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 7

The zeroes of f(x) = x² - 8x + 17 are?

Select one:

a. {8, 17}

b. {4 i}

c. {-4 i}

d. {17 8i}

e. None of these

Question 8

What is f(x) =x⁸ - 1 divided by x - 1?

Select one:

a. x² + 1

b. x² - 1

c. x⁷ + x⁶ + x⁵ + x⁴ + x³ + x² + x + 1

d. x⁶ + x⁵ + x⁴ + x³ + x² + x + 1

e. x⁷ + x⁶ + x⁵ + x⁴ + x³ + x² + x

Question 9

The roots of x² + 5 x - 19 = 0 are:

Select one:

a. (5 + 9)/2, (5 + 9)/2

b. (5 - 9)/2, (5 - 9)/2

c. (5 - 9)/2, (5 + 9)/2

d. (-5 - 9)/2, (-5 + 9)/2

e. None of these

Question 10

The graph of f(x) = x² + 6x + 10 hits the x-axis how many times?

Select one:

a. 0

b. 1

c. 2

d. 3

e. 4