SOLUTION: please may you help me find the possible rational zeros of using the rational zero theorem for this problem f(x)=x to the fourth power+ 2x^-24

Algebra ->  Rational-functions -> SOLUTION: please may you help me find the possible rational zeros of using the rational zero theorem for this problem f(x)=x to the fourth power+ 2x^-24      Log On


   

Question 560441: please may you help me find the possible rational zeros of using the rational zero theorem for this problem f(x)=x to the fourth power+ 2x^-24
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)= x%5E4+%2B+2x%5E2+-+24
:
x%5E4+%2B+2x%5E2+-+24 = 0
Factors to
%28x%5E2+%2B+6%29%28x%5E2+-+4%29 = 0
Four solutions
x%5E2+=+-6
x = +/-sqrt%28-6%29
therefore (irrational zeros)
x = + i%2Asqrt%286%29
x = - i%2Asqrt%286%29
and
x%5E2+=+4
x = +/-sqrt%284%29
therefore (these are the rational zeros)
x = +2
x = -2
:
The