Algebra
Calculus
Trigonometry
Matrix
Question :
x^3-3x^2+x-3
Factor the expression
(x−3)(x2+1)
Evaluate
x3−3x2+x−3
Calculate
x3+x−3x2−3
Rewrite the expression
x×x2+x−3x2−3
Factor out x from the expression
x(x2+1)−3x2−3
Factor out −3 from the expression
x(x2+1)−3(x2+1)
Solution
(x−3)(x2+1)
Show Solution
Find the roots
x1=−i,x2=i,x3=3
Evaluate
x3−3x2+x−3
To find the roots of the expression,set the expression equal to 0
x3−3x2+x−3=0
Factor the expression
(x−3)(x2+1)=0
Separate the equation into 2 possible cases
x−3=0x2+1=0
Solve the equation
More Steps
Evaluate
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Removing 0 doesn't change the value,so remove it from the expression
x=3
x=3x2+1=0
Solve the equation
More Steps
Evaluate
x2+1=0
Move the constant to the right-hand side and change its sign
x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
x2=−1
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±−1
Simplify the expression
x=±i
Separate the equation into 2 possible cases
x=ix=−i
x=3x=ix=−i
Solution
x1=−i,x2=i,x3=3
Show Solution
