SOLUTION: The following equation is given x^3-3x^2-25x+75x=0 a List all rational roots that are possible according to the Rational Zero Theorem. b. Use synthetic division to test several

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The following equation is given x^3-3x^2-25x+75x=0 a List all rational roots that are possible according to the Rational Zero Theorem. b. Use synthetic division to test several      Log On


   

Question 1150660: The following equation is given
x^3-3x^2-25x+75x=0
a List all rational roots that are possible according to the Rational Zero Theorem.
b. Use synthetic division to test several possible rational roots in order to identify one actual root.
One rational root of the given equation is_______
c. Use the root from part ​(b.​) and solve the equation.
The solution set of is x^3-3x^2-25x+75x=0 is { }





Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3-3x%5E2-25x%2B75x=0
x%5E3-3x%5E2%2B50x=0
x%28x%5E2-3x%2B50%29=0
0 is obviously one of the roots.


The possible roots to check for the quadratic factor are the positives and negatives of 1,2,5,25,50.
Try synthetic division. None of the remainders will be 0.

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

How your original equation is presented in the post, it does not make sense to refer to the Rational Zero theorem.

Obviously, you meant other starting equation.

Please be more attentive and more accurate next time.


Do not force the tutors to spend their valuable time for nothing.

Do not steal the tutor's time.