Problem 152 In the following exercises, iden... [FREE SOLUTION]

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Chapter 1: Problem 152

In the following exercises, identify the terms in each expression. $$ 9 y^{3}+y+5 $$

Short Answer

Expert verified

The terms are 9y^{3}, y, and 5.

Step by step solution

Understand the Expression

The given expression is a polynomial: 9y^{3}+y+5.

Identify Each Term

In a polynomial, the terms are separated by addition or subtraction symbols. Identify each distinct part of the expression separated by these symbols.

List the Terms

List out each term independently. The terms in the polynomial 9y^{3}+y+5 are: 1. 9y^{3} 2. y 3. 5.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

headline of the respective core concept

Polynomials are an important part of algebra, and learning to identify their terms can make understanding them much easier. A polynomial is an expression with multiple terms combined using addition or subtraction. Each part of the polynomial separated by these operations is called a 'term'. In the given exercise, we focus on recognizing and listing these terms.

headline of the respective core concept

To identify polynomial terms, start by looking at the expression. In our example, we have the polynomial: \ 9y^{3}+y+5 \. The terms of a polynomial are the distinct parts of the expression separated by '+' or '-'. For this particular example:
Find each part of the expression separated by these symbols.
The terms in $9y^{3}+y+5$ are straightforward.
They include:

9y^{3}
y
5

Each of these terms plays a different role in forming the polynomial.

headline of the respective core concept

Before diving into polynomial terms, it's essential to understand some basic algebra concepts.
Algebra is a branch of mathematics that deals with numbers and the rules for manipulating these numbers. At its core, algebra involves variables, constants, and operations. Here are some key things to remember:

A variable represents an unknown value and is usually denoted by letters like x, y, or z.
A constant is a fixed value, like 2, -3, or 7.
Operations include addition (+), subtraction (-), multiplication (脳), and division (梅).

By combining these elements in various ways, we create expressions and equations. Polynomials are one such type of expression, consisting of variable terms raised to non-negative integer powers and combined using addition or subtraction.

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91影视

In the following exercises, identify the terms in each expression. $$ 9 y^{3}+y+5 $$

Short Answer

Step by step solution

Understand the Expression

Identify Each Term

List the Terms

Key Concepts

headline of the respective core concept

headline of the respective core concept

headline of the respective core concept

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