Algebra Examples

$7 p^{5} - \frac{p}{10} + p^{4}$

Step 1

Move $- \frac{p}{10}$ .

$7 p^{5} + p^{4} - \frac{p}{10}$

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.

$7 p^{5} \to 5$

$p^{4} \to 4$

$- \frac{p}{10} \to 1$

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.

$7 p^{5}$

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.

$7 p^{5}$

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: $7 p^{5}$

Leading Coefficient: $7$