Algebra Examples

$2 x^{3} + 7 x^{5} - 4 x - 12$

Step 1

Reorder $2 x^{3}$ and $7 x^{5}$ .

$7 x^{5} + 2 x^{3} - 4 x - 12$

Step 2

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

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Step 2.1

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

$7 x^{5} \to 5$

$2 x^{3} \to 3$

$- 4 x \to 1$

$- 12 \to 0$

Step 2.2

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.

$7 x^{5}$

Step 4

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

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Step 4.1

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

$7 x^{5}$

Step 4.2

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

$7$

Step 5

List the results.

Polynomial Degree: $5$

Leading Term: $7 x^{5}$

Leading Coefficient: $7$