Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x(3x2−2x−12)
Evaluate
3x3−2x2−12x
Rewrite the expression
x×3x2−x×2x−x×12
Solution
x(3x2−2x−12)
Show Solution
Find the roots
x1=31−37,x2=0,x3=31+37
Alternative Form
x1≈−1.694254,x2=0,x3≈2.360921
Evaluate
3x3−2x2−12x
To find the roots of the expression,set the expression equal to 0
3x3−2x2−12x=0
Factor the expression
x(3x2−2x−12)=0
Separate the equation into 2 possible cases
x=03x2−2x−12=0
Solve the equation
More Steps
Evaluate
3x2−2x−12=0
Substitute a=3,b=−2 and c=−12 into the quadratic formula x=2a−b±b2−4ac
x=2×32±(−2)2−4×3(−12)
Simplify the expression
x=62±(−2)2−4×3(−12)
Simplify the expression
More Steps
Evaluate
(−2)2−4×3(−12)
Multiply
(−2)2−(−144)
Rewrite the expression
22−(−144)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
22+144
Evaluate the power
4+144
Add the numbers
148
x=62±148
Simplify the radical expression
More Steps
Evaluate
148
Write the expression as a product where the root of one of the factors can be evaluated
4×37
Write the number in exponential form with the base of 2
22×37
The root of a product is equal to the product of the roots of each factor
22×37
Reduce the index of the radical and exponent with 2
237
x=62±237
Separate the equation into 2 possible cases
x=62+237x=62−237
Simplify the expression
x=31+37x=62−237
Simplify the expression
x=31+37x=31−37
x=0x=31+37x=31−37
Solution
x1=31−37,x2=0,x3=31+37
Alternative Form
x1≈−1.694254,x2=0,x3≈2.360921
Show Solution