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The Rational Roots Theorem

Question 8 • AZ-Common Core Algebra II A

Complete the steps to identify all potential rational roots of f(x) = 3x2 – x – 4.Values of p are factors of .

Answer
A
3
B
-1
C
-4

Explanation

By the Rational Root Theorem, possible rational roots have the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient. In f(x) = 3x² − x − 4, the constant term is −4, so p is a factor of −4. The correct choice is −4.

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