Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 8.1, Problem 34HP
To determine
The definition of prime factorization, the process to find prime factorization of a monomial and use of prime factorization to calculate the GCF of two or more monomials.
Expert Solution & Answer
Explanation of Solution
Prime Factorization can be defined as the process of finding the prime numbers that when multiplied to each other give the original number.
In order to find the prime factorization of a monomial, divide the number with the first prime number i.e. 2, keep dividing until there is a remainder or a decimal, then keep dividing by 3, 5 and other prime numbers until the numbers left are only prime numbers.
After this, write the original number as the product of these prime numbers.
To find the GCF from the prime factorization of the numbers, identify the common terms in the given two or more monomials. Then multiply these common terms to finally get the GCF.
Chapter 8 Solutions
Algebra 1
Ch. 8.1 - Prob. 28PPSCh. 8.1 - Prob. 3CYPCh. 8.1 - Prob. 9CYUCh. 8.1 - Prob. 22PPSCh. 8.1 - Prob. 23PPSCh. 8.1 - Prob. 24PPSCh. 8.1 - Prob. 25PPSCh. 8.1 - Prob. 26PPSCh. 8.1 - Prob. 29HPCh. 8.1 - Prob. 31HP
Ch. 8.1 - Prob. 32HPCh. 8.1 - Prob. 33HPCh. 8.1 - Prob. 35STPCh. 8.1 - Prob. 36STPCh. 8.1 - Prob. 37STPCh. 8.1 - Prob. 38STPCh. 8.1 - Prob. 39SRCh. 8.1 - Prob. 40SRCh. 8.1 - Prob. 45SRCh. 8.1 - Prob. 46SRCh. 8.1 - Prob. 51SRCh. 8.1 - Prob. 52SRCh. 8.1 - Prob. 53SRCh. 8.1 - Prob. 54SRCh. 8.1 - Prob. 1ACYPCh. 8.1 - Prob. 2ACYPCh. 8.1 - Prob. 2BCYPCh. 8.1 - Prob. 2CCYPCh. 8.1 - Prob. 1CYUCh. 8.1 - Prob. 4CYUCh. 8.1 - Prob. 5CYUCh. 8.1 - Prob. 6CYUCh. 8.1 - Prob. 7CYUCh. 8.1 - Prob. 8CYUCh. 8.1 - Prob. 10PPSCh. 8.1 - Prob. 12PPSCh. 8.1 - Prob. 13PPSCh. 8.1 - Prob. 15PPSCh. 8.1 - Prob. 16PPSCh. 8.1 - Prob. 17PPSCh. 8.1 - Prob. 18PPSCh. 8.1 - Prob. 19PPSCh. 8.1 - Prob. 20PPSCh. 8.1 - Prob. 21PPSCh. 8.1 - Prob. 34HPCh. 8.1 - Prob. 41SRCh. 8.1 - Prob. 42SRCh. 8.1 - Prob. 43SRCh. 8.1 - Prob. 44SRCh. 8.1 - Prob. 1BCYPCh. 8.1 - Prob. 2CYUCh. 8.1 - Prob. 3CYUCh. 8.1 - Prob. 11PPSCh. 8.1 - Prob. 14PPSCh. 8.1 - Prob. 27PPSCh. 8.1 - Prob. 30HPCh. 8.1 - Prob. 47SRCh. 8.1 - Prob. 48SRCh. 8.1 - Prob. 49SRCh. 8.1 - 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Prob. 59SRCh. 8.3 - Prob. 66SCh. 8.3 - Prob. 67SCh. 8.3 - Prob. 68SCh. 8.3 - Prob. 5CYPCh. 8.3 - Prob. 11CYUCh. 8.3 - Prob. 30PPSCh. 8.3 - Prob. 31PPSCh. 8.3 - Prob. 32PPSCh. 8.3 - Prob. 37PPSCh. 8.3 - Prob. 38PPSCh. 8.3 - Prob. 39PPSCh. 8.3 - Prob. 40PPSCh. 8.3 - Prob. 41HPCh. 8.3 - Prob. 42HPCh. 8.3 - Prob. 43HPCh. 8.3 - Prob. 44HPCh. 8.3 - Prob. 45HPCh. 8.3 - Prob. 46HPCh. 8.3 - Prob. 47HPCh. 8.3 - Prob. 48HPCh. 8.3 - Prob. 49HPCh. 8.3 - Prob. 50STPCh. 8.3 - Prob. 51STPCh. 8.3 - Prob. 52STPCh. 8.3 - Prob. 53STPCh. 8.3 - Prob. 60SRCh. 8.3 - Prob. 61SRCh. 8.3 - Prob. 62SRCh. 8.3 - Prob. 63SRCh. 8.3 - Prob. 64SRCh. 8.3 - Prob. 65SRCh. 8.4 - Prob. 1ACYPCh. 8.4 - Prob. 1BCYPCh. 8.4 - Prob. 2ACYPCh. 8.4 - Prob. 2BCYPCh. 8.4 - Prob. 3ACYPCh. 8.4 - Prob. 3BCYPCh. 8.4 - Prob. 1CYUCh. 8.4 - Prob. 2CYUCh. 8.4 - Prob. 3CYUCh. 8.4 - Prob. 4CYUCh. 8.4 - Prob. 5CYUCh. 8.4 - Prob. 6CYUCh. 8.4 - Prob. 7CYUCh. 8.4 - Prob. 8CYUCh. 8.4 - Prob. 9CYUCh. 8.4 - Prob. 10PPSCh. 8.4 - Prob. 11PPSCh. 8.4 - Prob. 12PPSCh. 8.4 - 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Prob. 9CYUCh. 8.5 - Prob. 10CYUCh. 8.5 - Prob. 11CYUCh. 8.5 - Prob. 12CYUCh. 8.5 - Prob. 13CYUCh. 8.5 - Prob. 14CYUCh. 8.5 - Prob. 15PPSCh. 8.5 - Prob. 16PPSCh. 8.5 - Prob. 17PPSCh. 8.5 - Prob. 18PPSCh. 8.5 - Prob. 19PPSCh. 8.5 - Prob. 20PPSCh. 8.5 - Prob. 21PPSCh. 8.5 - Prob. 22PPSCh. 8.5 - Prob. 23PPSCh. 8.5 - Prob. 24PPSCh. 8.5 - Prob. 25PPSCh. 8.5 - Prob. 26PPSCh. 8.5 - Prob. 27PPSCh. 8.5 - Prob. 28PPSCh. 8.5 - Prob. 29PPSCh. 8.5 - Prob. 30PPSCh. 8.5 - Prob. 31PPSCh. 8.5 - Prob. 32PPSCh. 8.5 - Prob. 33PPSCh. 8.5 - Prob. 34PPSCh. 8.5 - Prob. 35PPSCh. 8.5 - Prob. 36PPSCh. 8.5 - Prob. 37PPSCh. 8.5 - Prob. 38PPSCh. 8.5 - Prob. 39PPSCh. 8.5 - Prob. 40PPSCh. 8.5 - Prob. 41PPSCh. 8.5 - Prob. 42PPSCh. 8.5 - Prob. 43PPSCh. 8.5 - Prob. 48PPSCh. 8.5 - Prob. 49PPSCh. 8.5 - Prob. 50PPSCh. 8.5 - Prob. 51PPSCh. 8.5 - Prob. 52PPSCh. 8.5 - Prob. 53PPSCh. 8.5 - Prob. 54PPSCh. 8.5 - Prob. 55PPSCh. 8.5 - Prob. 44PPSCh. 8.5 - Prob. 45PPSCh. 8.5 - Prob. 46PPSCh. 8.5 - Prob. 47PPSCh. 8.5 - Prob. 56PPSCh. 8.5 - 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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Contemporary Abstract Algebra
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ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Algebra And Trigonometry (11th Edition)
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ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Introduction to Linear Algebra, Fifth Edition
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ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
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