Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x(x−5)(x+1)
Evaluate
x3−4x2−5x
Rewrite the expression
x×x2−x×4x−x×5
Factor out x from the expression
x(x2−4x−5)
Solution
More Steps
Evaluate
x2−4x−5
Rewrite the expression
x2+(1−5)x−5
Calculate
x2+x−5x−5
Rewrite the expression
x×x+x−5x−5
Factor out x from the expression
x(x+1)−5x−5
Factor out −5 from the expression
x(x+1)−5(x+1)
Factor out x+1 from the expression
(x−5)(x+1)
x(x−5)(x+1)
Show Solution
Find the roots
x1=−1,x2=0,x3=5
Evaluate
x3−4x2−5x
To find the roots of the expression,set the expression equal to 0
x3−4x2−5x=0
Factor the expression
x(x−5)(x+1)=0
Separate the equation into 3 possible cases
x=0x−5=0x+1=0
Solve the equation
More Steps
Evaluate
x−5=0
Move the constant to the right-hand side and change its sign
x=0+5
Removing 0 doesn't change the value,so remove it from the expression
x=5
x=0x=5x+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=5x=−1
Solution
x1=−1,x2=0,x3=5
Show Solution