Find the Degree, Leading Term, and Leading Coefficient 6x^5-x^3+2x+1

$6 x^{5} - x^{3} + 2 x + 1$

Step 1

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.

$6 x^{5} \to 5$

$- x^{3} \to 3$

$2 x \to 1$

$1 \to 0$

The largest exponent is the degree of the polynomial.

$5$

Step 2

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

$6 x^{5}$

Step 3

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.

$6 x^{5}$

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

$6$

Step 4

List the results.

Polynomial Degree: $5$

Leading Term: $6 x^{5}$

Leading Coefficient: $6$