168k views
1 vote
What's one of the factors of x² - x – 6 ?

User Areke
by
8.1k points

1 Answer

5 votes

x^2-x-6=x^2+2x-3x-6=x(x+2)-3(x+2)\\\\=\boxed{(x+2)(x-3)}

The factors are: (x+2) and (x-3).


x^2-x-6=x^2+\underbrace{2x-3x}_(=-x)-6\\\\=\underbrace{x\cdot\boxed{x}}_(=x^2)+\underbrace{2\cdot\boxed{x}}_(=2x)+\underbrace{\fbox{-3}\cdot x}_(=-3x)+\underbrace{\fbox{-3}\cdot2}_(=-6)=\boxed{x}(x+2)+\fbox{-3}(x+2)\\\\=(x+2)(x+(-3))=\boxed{(x+2)(x-3)}
User Blayzeing
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories