1- If f(x) is a 4th degree polynomial, and has 3 complex numbers as roots, the o

Question

1- If f(x) is a 4th degree polynomial, and has 3 complex numbers as roots, the other root is?

Select one:

a. 0

b. Real

c. Complex

d. 1

e. None of these

2- What is i-3?

Select one:

a. 0

b. i

c. –i

d. 1

e. -1

3- As x goes to infinity, the graph of f(x) = 5x4 - 173x3 -16x2 -7x -15 goes to (points in) what direction?

Select one:

a.

b. -

c. 0

d. 1

e. 5

4- If a = 2 + i, and b = 3 – 2i, whats b/a?

Select one:

a. 4/5 -7i/5

b. 2 + (1/5)i

c. 10 – i

d. 10 + i

e. Impossible

5- 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, 3, 5, 15}

b. {+- 1, +- 3, +- 5, +- 15}

c. {+- 1/5, +- 3/5, +-1, +- 3, +- 5, +- 15}

d. {+- 1, +- 5, +- 1/3, +- 5/3, +- 1/5, +- 1/15}

e. None of these

Explanation / Answer

Q1 ans- As roots are complex conjugate of each other so fourth root will also be complex.

Q2 ans- i-3 = 1/i3 = 1/i 2×i = -1/i

Q3 ans- as x tends to infinity y also tends to infinity.

Q4 ans- b/a = 9+4/4+1= 13/5 which matches only with first option.

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