Question

HELP! Checking my answers please? Just 3 questions...

1. How many complex roots does 2x^4 + 3x^3 - x^2 + 5 = 0 have?

2
3
4 <---
5

2. Use the function to answer the question.
f(x) = x^3 + 5x^2 + 7x + 3 = (x + 1)(x + 1)(x + 3)

What is the multiplicity of the root 1?

1
2 <---
3
4

4. How many real roots does x4 - x3 - 9x2 + 7x + 14 = 0 have?

1
2
3
4 <---

Answer 1

Are they correct?

Answer 2

1. No real roots The curve never crosses the x axis
Refer to the attached plot.

Answer 3

Sorry. The answers appear to be correct.

Answer 4

I know...That's why I'm confused. There isn't an option for no roots. But wait...Aren't they asking for complex roots? That would be the degree of the coefficient right?

Answer 5

How about the others? Are they alright?

Answer 6

Frankly I don't know the rules. With a tool like Mathematica, one can simply plot the curve in a few millionths of a second.

Notice in the attachment above, that the solutions are four imaginary numbers.

Answer 7

Yes. Your answers are correct.
Congratulations.

Answer 8

Um, ok thanks...