Extremely stupid question but i want to be 100% sure

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Homework Help Overview

The discussion revolves around the factorization of the quadratic expression x^2 + 3x = 2. Participants are examining the equivalence of two factored forms of the expression and clarifying the implications of the commutative property of multiplication.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the factorization of the expression and whether the order of factors matters. There is also a consideration of a potential typo in the original problem statement.

Discussion Status

Some participants have provided explanations regarding the commutative property of multiplication and its relevance to the factorization. There is acknowledgment of a possible error in the original equation, which has led to further clarification and exploration of the correct expression.

Contextual Notes

There is a suggestion that the original poster may have intended to write x^2 + 3x + 2 instead of x^2 + 3x = 2, which could significantly change the nature of the problem being discussed.

groom03
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Homework Statement



factorise x^2+3x=2

Homework Equations



erm...

The Attempt at a Solution



(x+2)(x+1)

book says

(x+1)(x+2)

aren't those answers the same? i know it's a stupid question but i want to make sure I'm getting this right
 
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Yes, the answers are identical since the multiplication of real numbers is a commutative operation :approve:.
 
Hootenanny said:
commutative operation :approve:.

no idea what that means but thanks for your help
 
groom03 said:
no idea what that means but thanks for your help

2*5=5*2
 
groom03 said:
no idea what that means but thanks for your help
Look in the front cover or something, it's probably there ...
 
By defn of multiplication, you get the commutative property which states that a*b=b*a which tells you that the way you multiply two things has no order. So to answer your question yes, it does not matter which one comes first. Most books not all will list their answers in an increasing order, hence (x+1) comes before (x+2) because 2>1
 
I'm assuming there is a typo in your statement and that you meant x^2 + 3x + 2 , in which case the factors are (x+2)(x+1) or (x+1)(x+2). The equation x^2 + 3x = 2 would lead to very different factors...
 
dynamicsolo said:
I'm assuming there is a typo in your statement


yes... didn't notice that
 

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