Question

How many roots does the polynomial….

Answer 1

(a) 3

Explanation:

The fundamental theorem of algebra tells you a polynomial has a number of roots equal to its degree.

Roots

The degree of a polynomial is the largest exponent of the variable. Here, the degree is 3. That means there are three roots.

In general, the roots of a polynomial with real coefficients will be real or pairs of complex roots. The attached graph shows the roots of this cubic function are all real (and irrational).