SOLUTION: consider the function defined by p(x)= 5x^4-20x^3-64x^2+16x+48 use rational root theorem to construct a list of all the possible rational zeros for this function show work.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: consider the function defined by p(x)= 5x^4-20x^3-64x^2+16x+48 use rational root theorem to construct a list of all the possible rational zeros for this function show work.      Log On


   

Question 409571: consider the function defined by p(x)= 5x^4-20x^3-64x^2+16x+48 use rational root theorem to construct a list of all the possible rational zeros for this function show work.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The possible rational root can be given in the form a%2Fb where a is an integer factor (not necessarily positive) factor of 48, and b is an integer factor of 5. Thus, the possible values for a and b are:

a: +-1, +-2, +-3, +-4, +-6, +-8, +-12, +-16, +-24, +-48
b: +-1, +-5

This leaves exactly 100 possible roots. At most five of them can satisfy p(x) = 0.