Question

If f(x) is a complex polynomial of degree n, then f(x) has n roots.

Answer 1

is this a true or false question?

Answer 2

If so, then false

For example:
f(x) = x^2 − 3x + 4
This has no real roots, but has a degree of 2

Answer 3

Suggested Reading: The Fundamental Theorem of Algebra.

Answer 4

I say the answer is True.

Answer 5

its a proving question not a true or false one.

Answer 6

Look up the proof of the Fundamental Theorem of Algebra.