Factoring negative quantity from algebraic expression?

Click For Summary
SUMMARY

The discussion centers on the validity of two different factorizations of the algebraic expression 28xy² - 14x. The first factorization presented is -14x(-2y² + 1), while the book suggests -7x(-4y² + 2). Both factorizations are correct, demonstrating that multiple valid approaches exist for factoring expressions in algebra.

PREREQUISITES
  • Understanding of algebraic expressions
  • Knowledge of factoring techniques
  • Familiarity with negative quantities in mathematics
  • Ability to manipulate polynomial equations
NEXT STEPS
  • Study polynomial factoring methods
  • Explore the concept of negative coefficients in algebra
  • Learn about equivalent expressions in algebra
  • Practice factoring various algebraic expressions
USEFUL FOR

Students learning algebra, educators teaching factoring techniques, and anyone interested in understanding multiple approaches to algebraic expressions.

Holocene
Messages
237
Reaction score
0
Factoring negative quantity from algebraic expression?

Why is this wrong?

\displaystyle{28xy^2 - 14x = -14x(-2y^2 + 1)}

The book instead does this:

\displaystyle{28xy^2 - 14x = -7x(-4y^2 + 2)}
 
Mathematics news on Phys.org
Your book is incorrect
 
Those are both valid factorizations.
 

Similar threads

MHB Unraveling the Complexities of Factorization in Multivariable Polynomials
  • · Replies 21 ·
Replies
21
Views
5K
Undergrad Expression, Terms, Factors, Coefficients, Mono/Bi/Poly HELP
  • · Replies 1 ·
Replies
1
Views
2K
High School Complete the square, yes, but what does it mean?
  • · Replies 19 ·
Replies
19
Views
3K
How do you know which factor to use?
  • · Replies 7 ·
Replies
7
Views
4K
MHB Is it necessary to expand the quantity before factoring the expression?
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Prime factors of an expression
  • · Replies 3 ·
Replies
3
Views
2K
High School Factoring algebraic expressions contaning fractions
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad A doubt about the multiplicity of polynomials in two variables
  • · Replies 8 ·
Replies
8
Views
3K
High School Understanding Negative Exponents and Bases in Algebraic Expressions
  • · Replies 7 ·
Replies
7
Views
2K
MHB Help with Pre-Exam Test: Algebra Equations & More
  • · Replies 1 ·
Replies
1
Views
2K