Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x(x−6)(x+2)
Evaluate
x3−4x2−12x
Rewrite the expression
x×x2−x×4x−x×12
Factor out x from the expression
x(x2−4x−12)
Solution
More Steps
Evaluate
x2−4x−12
Rewrite the expression
x2+(2−6)x−12
Calculate
x2+2x−6x−12
Rewrite the expression
x×x+x×2−6x−6×2
Factor out x from the expression
x(x+2)−6x−6×2
Factor out −6 from the expression
x(x+2)−6(x+2)
Factor out x+2 from the expression
(x−6)(x+2)
x(x−6)(x+2)
Show Solution
Find the roots
x1=−2,x2=0,x3=6
Evaluate
x3−4x2−12x
To find the roots of the expression,set the expression equal to 0
x3−4x2−12x=0
Factor the expression
x(x−6)(x+2)=0
Separate the equation into 3 possible cases
x=0x−6=0x+2=0
Solve the equation
More Steps
Evaluate
x−6=0
Move the constant to the right-hand side and change its sign
x=0+6
Removing 0 doesn't change the value,so remove it from the expression
x=6
x=0x=6x+2=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=6x=−2
Solution
x1=−2,x2=0,x3=6
Show Solution