Question

Am i correct? :
How many complex roots does 6x4 + x3 5 = 0 have?
(Points : 4)
3

4

(5)

6

Answer 1

what is the degree of 6x^4 + x^3 - 5

Answer 2

4

Answer 3

6

Answer 4

forgot x^3

Answer 5

degree = largest exponent

Answer 6

that would be 4 = 6x^4 + x^3 - 5 = 0

Answer 7

yes, degree = 4

Answer 8

so by the fundamental theorem of algebra, there are 4 complex roots

the fundamental theorem of algebra says that if the degree of a polynomial is n, then there are n complex roots

Answer 9

ok so that how many complex roots? i thought i would have to factor to find out with synth. div.

Answer 10

example: 7x^3 - 5 has 3 complex roots

Answer 11

They just want to know how many roots. Not the actual roots.

Answer 12

oh i was just going to see how many would show up using the table

Answer 13

The number of real roots is 2. The number of complex roots is 2.

Answer 14

ok

Answer 15

The degree of the polynomial has no relationship to the number of complex roots it has.

Answer 16

That's the confusing nature of "complex". All real numbers are complex numbers since they are the form a+0i

However, sometimes when we say "complex" we strictly mean something in the form a+bi where b is nonzero