Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−2)(x2−x+4)
Evaluate
x3−3x2+6x−8
Calculate
x3−x2+4x−2x2+2x−8
Rewrite the expression
x×x2−x×x+x×4−2x2+2x−2×4
Factor out x from the expression
x(x2−x+4)−2x2+2x−2×4
Factor out −2 from the expression
x(x2−x+4)−2(x2−x+4)
Solution
(x−2)(x2−x+4)
Show Solution
Find the roots
x1=21−215i,x2=21+215i,x3=2
Alternative Form
x1≈0.5−1.936492i,x2≈0.5+1.936492i,x3=2
Evaluate
x3−3x2+6x−8
To find the roots of the expression,set the expression equal to 0
x3−3x2+6x−8=0
Factor the expression
(x−2)(x2−x+4)=0
Separate the equation into 2 possible cases
x−2=0x2−x+4=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=2x2−x+4=0
Solve the equation
More Steps
Evaluate
x2−x+4=0
Substitute a=1,b=−1 and c=4 into the quadratic formula x=2a−b±b2−4ac
x=21±(−1)2−4×4
Simplify the expression
More Steps
Evaluate
(−1)2−4×4
Evaluate the power
1−4×4
Multiply the numbers
1−16
Subtract the numbers
−15
x=21±−15
Simplify the radical expression
More Steps
Evaluate
−15
Evaluate the power
15×−1
Evaluate the power
15×i
x=21±15×i
Separate the equation into 2 possible cases
x=21+15×ix=21−15×i
Simplify the expression
x=21+215ix=21−15×i
Simplify the expression
x=21+215ix=21−215i
x=2x=21+215ix=21−215i
Solution
x1=21−215i,x2=21+215i,x3=2
Alternative Form
x1≈0.5−1.936492i,x2≈0.5+1.936492i,x3=2
Show Solution