Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x(x−5)(x+2)
Evaluate
x3−3x2−10x
Rewrite the expression
x×x2−x×3x−x×10
Factor out x from the expression
x(x2−3x−10)
Solution
More Steps
Evaluate
x2−3x−10
Rewrite the expression
x2+(2−5)x−10
Calculate
x2+2x−5x−10
Rewrite the expression
x×x+x×2−5x−5×2
Factor out x from the expression
x(x+2)−5x−5×2
Factor out −5 from the expression
x(x+2)−5(x+2)
Factor out x+2 from the expression
(x−5)(x+2)
x(x−5)(x+2)
Show Solution
Find the roots
x1=−2,x2=0,x3=5
Evaluate
x3−3x2−10x
To find the roots of the expression,set the expression equal to 0
x3−3x2−10x=0
Factor the expression
x(x−5)(x+2)=0
Separate the equation into 3 possible cases
x=0x−5=0x+2=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+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=5x=−2
Solution
x1=−2,x2=0,x3=5
Show Solution