SOLUTION: use factoring to solve the quadratic x^3-2x^2-x+2=0

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Question 513729: use factoring to solve the quadratic
x^3-2x^2-x+2=0

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E3-2x%5E2-x%2B2=0....group first two and second two terms

%28x%5E3-2x%5E2%29-%28x-2%29=0

x%5E2%28x-2%29-%28x-2%29=0

%28x%5E2-1%29%28x-2%29=0

%28x-1%29%28x%2B1%29%28x-2%29=0

solutions:
if %28x-1%29=0....->....x=1
if %28x%2B1%29=0....->....x=-1
if %28x-2%29=0....->....x=2

see them on a graph:
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3-2x%5E2-x%2B2%29+