6
QuizMultiple Choice

N/A — Exam

Question 6 • Algebra II

According to the Rational Root Theorem, negative 2 fifths is a potential rational root of which function?

Answer
A
f of x is equal to 4 x to the 4th power minus 7 x squared plus x plus 25
B
f of x is equal to 25 x to the 4th power minus 7 x squared plus x plus 4
C
f of x is equal to 9 x to the 4th power minus 7 x squared plus x plus 10
D
f of x is equal to 10 x to the 4th power minus 7 x squared plus x plus 9

Explanation

The Rational Root Theorem says a possible rational root p/q in lowest terms must have p divide the constant term and q divide the leading coefficient. For −2/5, 2 must divide the constant term and 5 must divide the leading coefficient. In choice A, the constant term is 4 and the leading coefficient is 25, so both conditions hold; the other choices fail at least one condition.

AI-written and checked against the verified answer.

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