SOLUTION: Solve the equaton x^3-4x^2-x+4=0 and list all the solutions.

Question 147989: Solve the equaton x^3-4x^2-x+4=0 and list all the solutions.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve the equation x^3-4x^2-x+4=0
-------
Since the coefficients add up to zero, x=1 is a solution.
Use synthetic division to find others:
1)....1....-4....-1....4
.......1.....-3....-4..|..0
Quotient: x^2-3x-4
Solve the quadratic by factoring:
(x-4)(x+1) = 0
x = 4 or x = -1
-------------------
All solutions: x = 1, or 4, or -1
===================
Cheers,
Stan H.
RELATED QUESTIONS
solve the following quadratic equaton for x... (answered by ewatrrr)

Solve the equation x^4-13x^2+30? List all real solutions, separated by commas? x= (answered by Boreal,Alan3354,ikleyn)

Factor the following and list all zeros (roots):... (answered by richard1234)

Factor the following and list all the zeros (roots):... (answered by haileytucki)

solve the equation x^4-13x^2+30=0. list the real solutions separated by... (answered by ikleyn)

Find all solutions of the equation. Solve the equation of quadratic type: (au^2+bu+c=0). (answered by stanbon)

Find all solutions, real and complex, of the equation. (Enter your answers as a... (answered by josgarithmetic)

Use the Rational Root Theorem to list all possible rational solutions. Then find the... (answered by math_tutor2020,MathLover1)

The graph of y=x^2+4x+4 is used to graph and solve 3 quadratic inequalities. Her three... (answered by stanbon)