Question

Determine the degree of the given polynomials. $$ 7 x y+6 y $$

Name: Problem 1, Chapter 3: Intermediate Algebra
Uploaded: 2022-02-25T15:00:09-08:00
Duration: 23 s
Channel: Kristen Tumminia
Description: Determine the degree of the given polynomials. 7 x y+6 y

   Determine the degree of the given polynomials. 
$$
7 x y+6 y
$$

Intermediate Algebra

Jerome E. Kaufmann,… 10th Edition

Chapter 3, Problem 1

Instant Answer

Solved by Expert Kristen Tumminia

02/25/2022

Step 1

The terms are $7xy$ and $6y$. Show more…

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Determine the degree of the given polynomials. $$ 7 x y+6 y $$

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Key Concepts

Degree of a Polynomial

The degree of a polynomial is defined as the highest degree among its individual monomials (terms). In the case of multivariable polynomials, the degree of a monomial is the sum of the exponents of the variables in that term, and the degree of the overall polynomial is the maximum of these sums.

Monomial

A monomial is a single term within a polynomial that consists of a coefficient and variables raised to non-negative integer powers. The degree of a monomial is calculated by summing the exponents of its variables, which is crucial for determining the overall degree of the polynomial.

Polynomial

A polynomial is an algebraic expression made up of a sum of terms, each of which is a constant multiplied by variables raised to non-negative integer powers. Polynomials serve as the basic objects of study in algebra and are used to model a wide range of phenomena in mathematics and applied disciplines.

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