Question

How many possible roots of f(x)=x⁴ + 5x³+ 3x²+ 2x + 6 are there?​

Answer 1

4 possible roots.

Explanation:

This has degree 4.

So it will have one of the following sets of roots.

4 real roots.

2 real and 2 complex roots.

4 complex roots.

Answer 2

4

Explanation:

The Fundamental theorem of algebra states that a polynomial of degree n has n roots, some may be complex.

f(x) =
`x^(4)` + 5x³ + 2x + 6 ← is a polynomial of degree 4

Thus there are 4 possible roots