Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x(x−8)(x+4)
Evaluate
x3−4x2−32x
Rewrite the expression
x×x2−x×4x−x×32
Factor out x from the expression
x(x2−4x−32)
Solution
More Steps
Evaluate
x2−4x−32
Rewrite the expression
x2+(4−8)x−32
Calculate
x2+4x−8x−32
Rewrite the expression
x×x+x×4−8x−8×4
Factor out x from the expression
x(x+4)−8x−8×4
Factor out −8 from the expression
x(x+4)−8(x+4)
Factor out x+4 from the expression
(x−8)(x+4)
x(x−8)(x+4)
Show Solution
Find the roots
x1=−4,x2=0,x3=8
Evaluate
x3−4x2−32x
To find the roots of the expression,set the expression equal to 0
x3−4x2−32x=0
Factor the expression
x(x−8)(x+4)=0
Separate the equation into 3 possible cases
x=0x−8=0x+4=0
Solve the equation
More Steps
Evaluate
x−8=0
Move the constant to the right-hand side and change its sign
x=0+8
Removing 0 doesn't change the value,so remove it from the expression
x=8
x=0x=8x+4=0
Solve the equation
More Steps
Evaluate
x+4=0
Move the constant to the right-hand side and change its sign
x=0−4
Removing 0 doesn't change the value,so remove it from the expression
x=−4
x=0x=8x=−4
Solution
x1=−4,x2=0,x3=8
Show Solution