Question

what are the possible rational zeros of f(x)=x^4-4x^3+9x^2+5x+14?

Answer 1

Test all the divisors of 14/1=14

Answer 2

The rational roots of
\[
a_n x^n + a_{n-a} x^{n-1} + \cdots + a_1 x + a_0
\]
are of the form
\[
\frac p q
\]
where p is a divisor of \( a_0\) and q is a divisor of \( a_n\)

Answer 3

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