Question

Use the Rational Zero Theorem to list all possible rational zeros for the function f(x) = x^3 + x^2 - 4x - 4.

Rational functions
ANSWERED
asked 2020-11-08
Use the Rational Zero Theorem to list all possible rational zeros for the function \(f(x) = x^3 + x^2 - 4x - 4\).

Answers (1)

2020-11-09

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

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