Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x(x−4)(x+1)
Evaluate
x3−3x2−4x
Rewrite the expression
x×x2−x×3x−x×4
Factor out x from the expression
x(x2−3x−4)
Solution
More Steps
Evaluate
x2−3x−4
Rewrite the expression
x2+(1−4)x−4
Calculate
x2+x−4x−4
Rewrite the expression
x×x+x−4x−4
Factor out x from the expression
x(x+1)−4x−4
Factor out −4 from the expression
x(x+1)−4(x+1)
Factor out x+1 from the expression
(x−4)(x+1)
x(x−4)(x+1)
Show Solution
Find the roots
x1=−1,x2=0,x3=4
Evaluate
x3−3x2−4x
To find the roots of the expression,set the expression equal to 0
x3−3x2−4x=0
Factor the expression
x(x−4)(x+1)=0
Separate the equation into 3 possible cases
x=0x−4=0x+1=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=4x+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=4x=−1
Solution
x1=−1,x2=0,x3=4
Show Solution