Pre-Algebra, Student Edition
Pre-Algebra, Student Edition
1st Edition
ISBN: 9780078885150
Author: McGraw-Hill
Publisher: Glencoe/McGraw-Hill
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter CSB1.2, Problem 27E
To determine

Tofind:The GCF on given monomials.

Expert Solution & Answer
Check Mark

Answer to Problem 27E

The GCF of 21x2y and 63xy2 is 21xy .

Explanation of Solution

Given information:

The given monomials are 21x2y and 63xy2 .

Formulaused:

The greatest number or expression which is a factor of two (or more) other numbers or polynomials is called the Greatest Common Factors (GCF). To find the GCF we find all the factors of two or more polynomials, and choose factors that are the common, and then the product of common factors is the Greatest Common Factor.

Calculations:

The given monomials are 21x2y and 63xy2 .

The factors of given monomials are

  21x2y=3×7×x×x×y

  63xy2=3×3×7×x×y×y

The common factors of 21x2y and 63xy2 are 3, 7, x and y .

Hence, the GCF of 21x2y and 63xy2 is 3×7×x×y=21xy

Conclusion:

The GCF of 21x2y and 63xy2 is 21xy .

Knowledge Booster
Background pattern image
Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Text book image
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Text book image
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Text book image
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
Text book image
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education
Polynomials with Trigonometric Solutions (2 of 3: Substitute & solve); Author: Eddie Woo;https://www.youtube.com/watch?v=EnfhYp4o20w;License: Standard YouTube License, CC-BY
Quick Revision of Polynomials | Tricks to Solve Polynomials in Algebra | Maths Tricks | Letstute; Author: Let'stute;https://www.youtube.com/watch?v=YmDnGcol-gs;License: Standard YouTube License, CC-BY
Introduction to Polynomials; Author: Professor Dave Explains;https://www.youtube.com/watch?v=nPPNgin7W7Y;License: Standard Youtube License