If f (x) is a third degree polynomial function, how many distinct complex roots are possible?

0or 2

0, 1, 2, or 3

1 or 2

1, 2, or 3

Question

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Mathematics

16 June, 23:18

If f (x) is a third degree polynomial function, how many distinct complex roots are possible?

0or 2

0, 1, 2, or 3

1 or 2

1, 2, or 3

+1

Answers (2)

Know the Answer?

Sonia Holloway · Answer 1

Answer A

Step-by-step explanation:

if coefficients are reals, then 0 or 2 complex roots (an even number) for if a is a root its conjuate is also a root.

Miller · Answer 2

0 or 2

Step-by-step explanation:

If a polynomial has complex roots, they occur in conjugate pairs.

Since degree is 3, there can be at max 1 pair (which is 2 complex no. sl

Or roots can be all real

If f (x) is a third degree polynomial function, how many distinct complex roots are possible?0or 20, 1, 2, or 31 or 21, 2, or 3

If f (x) is a third degree polynomial function, how many distinct complex roots are possible?

0or 2

0, 1, 2, or 3

1 or 2

1, 2, or 3