Find the Degree, Leading Term, and Leading Coefficient 2x^4+5x^2+6x+1/4

$2 x^{4} + 5 x^{2} + 6 x + \frac{1}{4}$

The degree of a polynomial is the highest degree of its terms.

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$2 x^{4} \to 4$

$5 x^{2} \to 2$

$6 x \to 1$

$\frac{1}{4} \to 0$

The largest exponent is the degree of the polynomial.

$4$

The leading term in a polynomial is the term with the highest degree.

$2 x^{4}$

The leading coefficient of a polynomial is the coefficient of the leading term.

The leading term in a polynomial is the term with the highest degree.

$2 x^{4}$

The leading coefficient in a polynomial is the coefficient of the leading term.

$2$

List the results.

Polynomial Degree: $4$

Leading Term: $2 x^{4}$

Leading Coefficient: $2$