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Example Question #32 : Polynomials
Consider the equation .
According to the Rational Zeroes Theorem, if are all integers, then, regardless of their values, which of the following cannot be a solution to the equation?
By the Rational Zeroes Theorem, any rational solution must be a factor of the constant, 6, divided by the factor of the leading coefficient, 14.
Four of the answer choices have this characteristic:
is in lowest terms, and 3 is not a factor of 14. It is therefore the correct answer.