SOLUTION: {{{x^3 + 2*x^2 - x - 2=0}}}

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: {{{x^3 + 2*x^2 - x - 2=0}}}      Log On


   

Question 681469: x%5E3+%2B+2%2Ax%5E2+-+x+-+2=0
Answer by MathMan88(14) About Me  (Show Source):
You can put this solution on YOUR website!
group like terms
%28x%5E3+%2B+2%2Ax%5E2%29+%28-x-2%29+=0
take out GCF
x%5E2+%28x%2B2%29++-1+%28x%2B2%29+=+0
Distributive Property
%28x%5E2+-+1%29+%28x%2B2%29+=+0
Difference of Squares
%28x-1%29+%28x%2B1%29+%28x%2B2%29+=+0
Solve for x
x-1=0
x=1
x%2B1=0
x=-1
x%2B2=0
x=-2
Answers are
X = -1,-2,1