Question

Using complete sentences, describe how you would find all possible rational zeros of the polynomial function f(x) = 4x3 – 5x2 + 9x – 6.


Be sure to provide the answer in your explanation.

Answer 1

p = -6 and q = 4.

The factors of p = -6 are ± {1, 2, 3, 6}, and the factors of q = 4 are ± { 1, 2, 4}.

Consider the numbers in the form p/q: ± {1, 2, 3, 6, 1/2, 3/2, 1/4, 3/4}.

Substitute each number in the equation.