Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x(1+x+x2)
Evaluate
x+x2+x3
Rewrite the expression
x+x×x+x×x2
Solution
x(1+x+x2)
Show Solution
Find the roots
x1=−21−23i,x2=−21+23i,x3=0
Alternative Form
x1≈−0.5−0.866025i,x2≈−0.5+0.866025i,x3=0
Evaluate
x+x2+x3
To find the roots of the expression,set the expression equal to 0
x+x2+x3=0
Factor the expression
x(1+x+x2)=0
Separate the equation into 2 possible cases
x=01+x+x2=0
Solve the equation
More Steps
Evaluate
1+x+x2=0
Rewrite in standard form
x2+x+1=0
Substitute a=1,b=1 and c=1 into the quadratic formula x=2a−b±b2−4ac
x=2−1±12−4
Simplify the expression
More Steps
Evaluate
12−4
1 raised to any power equals to 1
1−4
Subtract the numbers
−3
x=2−1±−3
Simplify the radical expression
More Steps
Evaluate
−3
Evaluate the power
3×−1
Evaluate the power
3×i
x=2−1±3×i
Separate the equation into 2 possible cases
x=2−1+3×ix=2−1−3×i
Simplify the expression
x=−21+23ix=2−1−3×i
Simplify the expression
x=−21+23ix=−21−23i
x=0x=−21+23ix=−21−23i
Solution
x1=−21−23i,x2=−21+23i,x3=0
Alternative Form
x1≈−0.5−0.866025i,x2≈−0.5+0.866025i,x3=0
Show Solution