possible rational \(zeros=(Factors\ of\ the\ constant\ term)/(Factors\ of\ the\ leading\ coefficient)\)

List the factors of the constant term and the leading coefficient of the given function.

Factors of the constant term, -4: +-1, +-2, +-4

Factors of leading co efficient, 1: +-1

possible rational \(zeros=(Factors\ of\ -4)/(Factors\ of\ 1)\)

\(=(+-1,+-2,+-4)/(+-1)\)

consider each number is numerator an divide it by each number in the denominator.

Possible rational zeros= +-1, +-2, +-4

Therefore, the possible rational seros of f(x) are

+-1, +-2 and +-4