How do you factor x^3+27=0?

1 Answer
Feb 18, 2017

(x+3)(x^2-3x+9)=0

Explanation:

We have a standard polynomial on LHS of the form a^3+b^3, whose one factor is (a+b). So one factor is (x+3)

x^3+27=0

hArrx^3+3x^2-3x^2-9x+9x+27=0

or x^2(x+3)-3x(x+3)+9(x+3)=0

or (x+3)(x^2-3x+9)=0