Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x3(x2−3)
Evaluate
x5−3x3
Rewrite the expression
x3×x2−x3×3
Solution
x3(x2−3)
Show Solution
Find the roots
x1=−3,x2=0,x3=3
Alternative Form
x1≈−1.732051,x2=0,x3≈1.732051
Evaluate
x5−3x3
To find the roots of the expression,set the expression equal to 0
x5−3x3=0
Factor the expression
x3(x2−3)=0
Separate the equation into 2 possible cases
x3=0x2−3=0
The only way a power can be 0 is when the base equals 0
x=0x2−3=0
Solve the equation
More Steps
Evaluate
x2−3=0
Move the constant to the right-hand side and change its sign
x2=0+3
Removing 0 doesn't change the value,so remove it from the expression
x2=3
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±3
Separate the equation into 2 possible cases
x=3x=−3
x=0x=3x=−3
Solution
x1=−3,x2=0,x3=3
Alternative Form
x1≈−1.732051,x2=0,x3≈1.732051
Show Solution