Examples

3 x^{2} - 2 x + 5

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

Step 1

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

Tap for more steps...

Step 1.1

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

3 x^{2} \to 2

$3 x^{2} \to 2$

- 2 x \to 1

$- 2 x \to 1$

5 \to 0

$5 \to 0$

Step 1.2

The largest exponent is the degree of the polynomial.

2

$2$

2

$2$

Step 2

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

3 x^{2}

$3 x^{2}$

Step 3

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

Tap for more steps...

Step 3.1

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

3 x^{2}

$3 x^{2}$

Step 3.2

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

3

$3$

3

$3$

Step 4

List the results.

Polynomial Degree:

2

$2$

Leading Term:

3 x^{2}

$3 x^{2}$

Leading Coefficient:

3

$3$

Enter YOUR Problem