Find the Degree, Leading Term, and Leading Coefficient 8x^6+6x^5-3

$8 x^{6} + 6 x^{5} - 3$

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.

$8 x^{6} \to 6$

$6 x^{5} \to 5$

$- 3 \to 0$

The largest exponent is the degree of the polynomial.

$6$

Step 2

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

$8 x^{6}$

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.

$8 x^{6}$

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

$8$

Step 4

List the results.

Polynomial Degree: $6$

Leading Term: $8 x^{6}$

Leading Coefficient: $8$