Question

What are the terms of the expression? Give the coefficient of each term. See Objective $1 .$ $$3 x^{3}+11 x^{2}-x+9$$

Name: Problem 19, Chapter 1: Intermediate Algebra
Uploaded: 2023-09-15T14:58:21-08:00
Duration: 1 min 29 s
Channel: Willis James
Description: What are the terms of the expression? Give the coefficient of each term. See Objective 1 . 3 x^3+11 x^2-x+9

   What are the terms of the expression? Give the coefficient of each term. See Objective $1 .$
$$3 x^{3}+11 x^{2}-x+9$$

Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 1, Problem 19

Instant Answer

Solved by Expert Willis James

09/15/2023

Step 1

A term in an algebraic expression is an expression involving numbers and variables separated by addition or subtraction operators. In the given expression $3 x^{3}+11 x^{2}-x+9$, the terms are $3 x^{3}$, $11 x^{2}$, $-x$, and $9$. Show more…

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What are the terms of the expression? Give the coefficient of each term. See Objective $1 .$ $$3 x^{3}+11 x^{2}-x+9$$

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Key Concepts

Coefficient

The coefficient is the numerical factor in a term that multiplies the variable part. It indicates the magnitude or weight of the term and is key to understanding how each term contributes to the overall polynomial.

Degree

The degree of a term is determined by the exponent of the variable in that term, and the degree of the polynomial is the highest degree among its terms. This concept is important for understanding the polynomial's behavior and its classification.

Polynomial

A polynomial is an algebraic expression that consists of one or more terms which are added or subtracted together. It involves variables raised to non-negative integer exponents and coefficients that multiply these variables.

Term

A term in a polynomial is an individual part of the expression that is either a constant or a product of a constant and one or more variables raised to a power. Terms are typically separated by addition or subtraction signs.

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