The Rational Roots Theorem

Question 1

According to the Rational Root Theorem, which statement about f(x) = 12x3 – 5x2 + 6x + 9 is true?

Revolt · Accepted Answer

Any rational root of f(x) is a factor of 9 divided by a factor of 12.

Question 2

According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 – 2x4 + 9x3 – x2 + 12?

Revolt · Accepted Answer

f(x) = 3x5 – 2x4 – 9x3 + x2 – 12

Question 3

The graph of f(x) = x6 – 2x4 – 5x2 + 6 is shown below. How many roots of f(x) are rational numbers?

Revolt · Accepted Answer

2

The Rational Roots Theorem Answers