Question

Which is a potential rational root of f(x) at point P?

a) The root at point P may be three-fifths.
b) The root at point P may be one-fifth.
c) The root at point P may be five-thirds.
d) The root at point P may be one-third.

Answer 1

The potential rational root of f(x) at point P is 0.

Step-by-step explanation:

The potential rational root of f(x) at point P can be determined using the Rational Root Theorem. According to the theorem, if a polynomial function has integer coefficients, then any rational root of the function can be expressed as the quotient of a factor of the constant term and a factor of the leading coefficient.

In this case, the constant term is 0 and the leading coefficient is 1, so the potential rational roots at point P must be factors of 0 divided by factors of 1, which simplifies to just 0 divided by any non-zero integer. Therefore, the only valid potential rational root at point P is 0.