Based on the degree, what is the greatest number of zeros the polynomial f(x)=5x4+3x2
could have?(1 point)
The degree of the polynomial is 4, which means it is a quartic polynomial.
A quartic polynomial can have at most 4 real zeros.
Therefore, the greatest number of zeros the polynomial could have is 4.
The greatest number of zeros that a polynomial can have is equal to its degree. In this case, the polynomial f(x) = 5x^4 + 3x^2 has a degree of 4. Therefore, the greatest number of zeros that this polynomial could have is 4.
To determine the greatest number of zeros the polynomial f(x)=5x^4+3x^2 could have based on its degree, we need to consider the leading term, which is the term with the highest degree.
The degree of a term is determined by the exponent of the variable. In this polynomial, the highest degree term is 5x^4. This means that the polynomial has a degree of 4.
The number of zeros a polynomial can have is equal to its degree. Therefore, the greatest number of zeros the polynomial f(x)=5x^4+3x^2 could have is 4.