# According to the fundamental theorem of algebra, how many zeros does the function #f(x) = 3x^4+x+2# have?

##### 1 Answer

Feb 24, 2018

Four.

#### Explanation:

The fundamental theorem of algebra states that the number of solutions a (single-variable) polynomial has is equivalent to it’s highest exponent, aka the “degree” of the polynomial. This is a fourth degree polynomial, so there are four solutions.