Find the Degree, Leading Term, and Leading Coefficient 3y^2-y^4+y^5

$3 y^{2} - y^{4} + y^{5}$

Step 1

Simplify the polynomial, then reorder it left to right starting with the highest degree term.

Move $3 y^{2}$ .

$- y^{4} + y^{5} + 3 y^{2}$

Reorder $- y^{4}$ and $y^{5}$ .

$y^{5} - y^{4} + 3 y^{2}$

Step 2

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.

$y^{5} \to 5$

$- y^{4} \to 4$

$3 y^{2} \to 2$

The largest exponent is the degree of the polynomial.

$5$

Step 3

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

$y^{5}$

Step 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.

$y^{5}$

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

$1$

Step 5

List the results.

Polynomial Degree: $5$

Leading Term: $y^{5}$

Leading Coefficient: $1$