Algebra Examples

$f (x) = 2 x + x^{3} + 4$

Step 1

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

$f (x) = x^{3} + 2 x + 4$

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.

$x^{3} \to 3$

$2 x \to 1$

$4 \to 0$

Step 2.2

The largest exponent is the degree of the polynomial.

$3$

Step 3

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

$x^{3}$

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.

$x^{3}$

Step 4.2

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

$1$

Step 5

List the results.

Polynomial Degree: $3$

Leading Term: $x^{3}$

Leading Coefficient: $1$