Question

Based on the degree, what is the greatest number of zeros the polynomial f(x)=5x4+3x2
could have?(1 point)

Answer 1

The degree of a polynomial is determined by the highest power of x in the polynomial. In this case, the highest power of x is 4. Therefore, the degree of the polynomial is 4.

Since the polynomial does not have any terms with x^3, x^2, x^1, or x^0, it means that there are no zeros in the polynomial. Therefore, the greatest number of zeros the polynomial f(x)=5x^4+3x^2 could have is zero.