Question

How many roots does the function have?

f(x)= x^6 + 2x^5 - 2x^4 + 3x^3 + 4x^2 - 5x +7


A. 21

B. 2

C. 6

D. 7

Answer 1

C. 6

Explanation:

The degree of the polynomial function is 6. The "fundamental theorem of algebra" tells you the number of roots is equal to the degree of the polynomial.

f(x) has 6 roots.