Question

What is the leading term of a polynomial?

   What is the leading term of a polynomial?

Intermediate Algebra for College Students

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 5, Problem 100

Instant Answer

Solved by Expert Sherrie Fenner

07/18/2020

Step 1

The leading term of a polynomial is the term with the highest degree (or highest exponent) of the variable. Show more…

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What is the leading term of a polynomial?

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Key Concepts

Polynomial

A polynomial is an algebraic expression made up of terms where each term is a product of a constant coefficient and a variable raised to a nonnegative integer exponent. Polynomials serve as the foundation in algebra for expressing a wide range of functions and equations.

Leading Term

The leading term of a polynomial is the term with the highest power of the variable. It is significant because it determines the end behavior of the function, influencing how the polynomial behaves for large positive or negative values of the variable.

Degree

The degree of a polynomial is defined as the highest exponent found among its terms. The leading term, which carries this highest power, is essential in identifying the overall degree of the polynomial and predicting its long-term behavior.

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