Question

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.

f(x) = -2x4 + 4x3 + 3x2 + 18

Answer 1

list all possible fractions \(\pm\frac{p}{q}\) where \(p\) divides \(18\) i.e. \(p=1,2,3,6,9,18\) and \(q\) divides \(2\) i.e. \(q=1,2\) there are a lot!

Answer 2

That's what my lesson said almost verbatim. What do p and q stand for though?

Answer 3

in this case, p is 18 and q is 2, based on the equation given
f(x) = -2x4 + 4x3 + 3x2 + 18.