Alyce Wilkinson

2020-11-08

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

Arnold Odonnell

Skilled2020-11-09Added 109 answers

possible rational

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

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

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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