SOLUTION: Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. f(x) = -2x4 + 4x3 + 3x2 + 18

Algebra ->  Rational-functions -> SOLUTION: Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. f(x) = -2x4 + 4x3 + 3x2 + 18      Log On


   

Question 785502: Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.
f(x) = -2x4 + 4x3 + 3x2 + 18
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
The RZT says that if you take the constant term and divide it by the leading coefficient, then you will get all possible zeroes, if the function has it. Following this:
18/-2 = -9.
The factors of -9 are 1,3,9 (plus or minus)
So the possible zeroes are -9,-3,-1,1,3,9