step 1 I ask to factor the expression 81p plus 27Q plus 9. So first, we have to find the largest number

Question

Factor. $$ 81 p+27 q+9 $$

Name: Problem 74, Chapter 15: Elementary and Intermediate Algebra
Uploaded: 2020-05-19T01:28:25-08:00
Duration: 44 s
Channel: Julie Silva
Description: Factor. 81 p+27 q+9

   Factor.
$$
81 p+27 q+9
$$

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 15, Problem 74

Instant Answer

Solved by Expert Julie Silva

05/19/2020

Step 1

The coefficients are 81, 27, and 9. The GCF of these numbers is 9. Show more…

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Factor. $$ 81 p+27 q+9 $$

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Key Concepts

Greatest Common Factor (GCF)

The greatest common factor is the largest expression, including both coefficients and variables, that divides each term in an algebraic expression without leaving a remainder. Identifying the GCF is a key step in simplifying expressions because it allows for a systematic extraction of common elements, which often simplifies the problem or sets it up for further factorization techniques.

Factoring Algebraic Expressions

Factoring algebraic expressions involves rewriting an expression as a product of simpler factors. This method is crucial for solving equations and simplifying expressions. It often starts with extracting the GCF from all the terms, which simplifies the polynomial and can reveal further patterns or factorable structures.

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