Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x(x2−x−4)
Evaluate
x3−x2−4x
Rewrite the expression
x×x2−x×x−x×4
Solution
x(x2−x−4)
Show Solution
Find the roots
x1=21−17,x2=0,x3=21+17
Alternative Form
x1≈−1.561553,x2=0,x3≈2.561553
Evaluate
x3−x2−4x
To find the roots of the expression,set the expression equal to 0
x3−x2−4x=0
Factor the expression
x(x2−x−4)=0
Separate the equation into 2 possible cases
x=0x2−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)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
1+16
Add the numbers
17
x=21±17
Separate the equation into 2 possible cases
x=21+17x=21−17
x=0x=21+17x=21−17
Solution
x1=21−17,x2=0,x3=21+17
Alternative Form
x1≈−1.561553,x2=0,x3≈2.561553
Show Solution