Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−2)(x2+x+2)
Evaluate
x3−x2−4
Calculate
x3+x2+2x−2x2−2x−4
Rewrite the expression
x×x2+x×x+x×2−2x2−2x−2×2
Factor out x from the expression
x(x2+x+2)−2x2−2x−2×2
Factor out −2 from the expression
x(x2+x+2)−2(x2+x+2)
Solution
(x−2)(x2+x+2)
Show Solution
Find the roots
x1=−21−27i,x2=−21+27i,x3=2
Alternative Form
x1≈−0.5−1.322876i,x2≈−0.5+1.322876i,x3=2
Evaluate
x3−x2−4
To find the roots of the expression,set the expression equal to 0
x3−x2−4=0
Factor the expression
(x−2)(x2+x+2)=0
Separate the equation into 2 possible cases
x−2=0x2+x+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=2x2+x+2=0
Solve the equation
More Steps
Evaluate
x2+x+2=0
Substitute a=1,b=1 and c=2 into the quadratic formula x=2a−b±b2−4ac
x=2−1±12−4×2
Simplify the expression
More Steps
Evaluate
12−4×2
1 raised to any power equals to 1
1−4×2
Multiply the numbers
1−8
Subtract the numbers
−7
x=2−1±−7
Simplify the radical expression
More Steps
Evaluate
−7
Evaluate the power
7×−1
Evaluate the power
7×i
x=2−1±7×i
Separate the equation into 2 possible cases
x=2−1+7×ix=2−1−7×i
Simplify the expression
x=−21+27ix=2−1−7×i
Simplify the expression
x=−21+27ix=−21−27i
x=2x=−21+27ix=−21−27i
Solution
x1=−21−27i,x2=−21+27i,x3=2
Alternative Form
x1≈−0.5−1.322876i,x2≈−0.5+1.322876i,x3=2
Show Solution