Question

Please help! I got 14 but it says it's incorrect! Find the maximum number of real zeros of the polynomial. f(x)=2x^(6)-3x^(3)+1-2x^(5)

Answer 1

6

Explanation:

The Fundamental theorem of Algebra states that a polynomial of degree n has n roots. These can be real, complex or both.

f(x) = 2
`x^(6)` - 3x³ + 1 - 2
`x^(5)` ← is a polynomial of degree 6

Thus the maximum number of real roots is 6