Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x(x−2)(x−1)
Evaluate
x3−3x2+2x
Rewrite the expression
x×x2−x×3x+x×2
Factor out x from the expression
x(x2−3x+2)
Solution
More Steps
Evaluate
x2−3x+2
Rewrite the expression
x2+(−1−2)x+2
Calculate
x2−x−2x+2
Rewrite the expression
x×x−x−2x+2
Factor out x from the expression
x(x−1)−2x+2
Factor out −2 from the expression
x(x−1)−2(x−1)
Factor out x−1 from the expression
(x−2)(x−1)
x(x−2)(x−1)
Show Solution
Find the roots
x1=0,x2=1,x3=2
Evaluate
(x3−3x2+2x)
To find the roots of the expression,set the expression equal to 0
x3−3x2+2x=0
Factor the expression
x(x−2)(x−1)=0
Separate the equation into 3 possible cases
x=0x−2=0x−1=0
Solve the equation
More Steps
Evaluate
x−2=0
Move the constant to the right-hand side and change its sign
x=0+2
Removing 0 doesn't change the value,so remove it from the expression
x=2
x=0x=2x−1=0
Solve the equation
More Steps
Evaluate
x−1=0
Move the constant to the right-hand side and change its sign
x=0+1
Removing 0 doesn't change the value,so remove it from the expression
x=1
x=0x=2x=1
Solution
x1=0,x2=1,x3=2
Show Solution