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

Rational functions
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)

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