Question

Future FLVS:
What are the possible numbers of positive real, negative real, and complex zeros of
f(x) = -7x4 - 12x3 + 9x2 - 17x + 3?

A) Positive Real: 3 or 1
Negative Real: 1
Complex: 2 or 0

B) Positive Real: 3 or 1
Negative Real: 2 or 0
Complex: 1

C) Positive Real: 1
Negative Real: 3 or 1
Complex: 2 or 0

D) Positive Real: 4, 2 or 0
Negative Real: 1
Complex: 0 or 1 or 3
Points earned on this question: 2
Note: A is the correct answer

Answer 1

What are the possible numbers of positive real, negative real, and complex zeros of
f(x) = 4x3 + x2 + 10x - 14?

A) Positive Real: 1
Negative Real: 0
Complex: 2

B) Positive Real: 1
Negative Real: 2 or 0
Complex: 2 or 0

C) Positive Real: 2 or 0
Negative Real: 1
Complex: 2 or 0

D) Positive Real: 2 or 0
Negative Real: 2 or 0
Complex: 1

Points earned on this question: 2
Note: B is the correct answer

Answer 2

What are the possible rational zeros of f(x) = 3x4 + x3 - 13x2 - 2x + 9?

a) ± 1, ± 3

b) ± 1, ± 3, ± 9

c) ± 1, ± 1 over 3, ± 1 over 9, ± 3

d) ± 1, ± 1 over 3, ± 3, ± 9

Points earned on this question: 2
Note: D is the correct answer