step 1 To find out the factors for given trinomial, first we will rearrange the terms. X square less 1

X^2+(1)/(5) x | Numerade

Name: Problem 29, Chapter 8: Elementary and Intermediate Algebra
Uploaded: 2020-09-23T17:50:35-08:00
Duration: 5 min 4 s
Channel: Pammi Eswari
Description: x^2+(1)/(5) x

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Key Concepts

Polynomial Expression

A polynomial expression is a sum of one or more terms, each involving a variable raised to a nonnegative integer power and multiplied by a coefficient. This concept is fundamental in algebra because it forms the basis for equations, functions, and models that describe various relationships and phenomena.

Monomials (Terms)

Each part of a polynomial separated by addition or subtraction is called a term or monomial. Understanding individual terms is important as it allows one to perform operations like combining like terms, simplifying expressions, and factoring, all of which are central to solving algebraic problems.

Degree

The degree of a term in a polynomial is the exponent on the variable, and the degree of the entire polynomial is the highest degree among its terms. This concept is critical because it informs the behavior of the function, including the number of turning points, the end behavior, and the overall shape of its graph.

Coefficient

A coefficient is the numerical factor that multiplies the variable in a term of a polynomial. Coefficients determine the contribution of each term to the overall value of the expression and play a key role in operations such as scaling, combining like terms, and solving equations.

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