22y³ – 4xy² + 22xy³ |

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question
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Factor the given polynomial and find the greatest common monomial factor (or the negative of the greatest common monomial factor ) and rewrite the expression
### Polynomial Expression

The given polynomial expression is:

\[ 22y^3 - 4xy^2 + 22xy^3 \]

#### Explanation:

This expression is a polynomial with three terms:
1. **First Term:** \( 22y^3 \) - This term represents a cubic term in \( y \). It is a simple monomial.
2. **Second Term:** \( -4xy^2 \) - This term includes both \( x \) and \( y^2 \), making it a binomial containing variables \( x \) and \( y \).
3. **Third Term:** \( 22xy^3 \) - Similar to the second term, this is a binomial term with \( x \) and a cubic power of \( y \).

These terms can be part of larger equations or functions that describe certain algebraic relationships. There are no graphs or diagrams associated with this expression in the provided image.
Transcribed Image Text:### Polynomial Expression The given polynomial expression is: \[ 22y^3 - 4xy^2 + 22xy^3 \] #### Explanation: This expression is a polynomial with three terms: 1. **First Term:** \( 22y^3 \) - This term represents a cubic term in \( y \). It is a simple monomial. 2. **Second Term:** \( -4xy^2 \) - This term includes both \( x \) and \( y^2 \), making it a binomial containing variables \( x \) and \( y \). 3. **Third Term:** \( 22xy^3 \) - Similar to the second term, this is a binomial term with \( x \) and a cubic power of \( y \). These terms can be part of larger equations or functions that describe certain algebraic relationships. There are no graphs or diagrams associated with this expression in the provided image.
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