Question

According to The Fundamental Theorem of Algebra, how many zeros does the function
f(x) = 3x4 + x + 2 have?

Answer 1

The gist of the Fundamental Theorem of Algebra is that a polynomial with complex coefficients (real numbers are also complex!) of degree n will have exactly n-complex roots.

What's the degree of this polynomial?

Answer 2

4, right?

Answer 3

That's right, so it must have that many complex roots.

Answer 4

ok, so it would have about 4 zeros, right?

Answer 5

not about... EXACTLY four zeros. This is true as long as we're working with complex roots.

Answer 6

okay, i think I get it

Answer 7

Thanks!

Answer 8

Anytime :)