A polynomial function h(x) with integer coefficients has a leading coefficient of 16 and a constant term of -1. According to the Rational Root Theorem, which of the following are possible roots of h(x)? Multi-select Choices: (A)18/5 (B)-18 (C)7 (D)1

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A polynomial function h(x) with integer coefficients has a leading coefficient of 16 and a constant term of -1. According to the Rational Root Theorem, which of the following are possible roots of h(x)?   Multi-select Choices: (A)18/5 (B)-18 (C)7 (D)1

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The Rational Root Theorem: The Rational Root Theorem states that any rational root, in the form of p/q (where p and q are integers), of a polynomial equation with integer coefficients must have p as a factor of the constant term and q as a factor of the leading coefficient.Constant Term Factors: List the factors of the constant term -1, which are ±1.Leading Coefficient Factors: List the factors of the leading coefficient 16, which are ±1, ±2, ±4, ±8, and ±16.Possible Rational Roots: According to the Rational Root Theorem, the possible rational roots are the factors of the constant term divided by the factors of the leading coefficient. So, the possible roots are ±1/1, ±1/2, ±1/4, ±1/8, and ±1/16.Check Given Options: Check each of the given options against the possible roots: (A) 18/5 is not a possible root because 5 is not a factor of 16. (B) -18 is not a possible root because 18 is not a factor of -1. (C) 7 is not a possible root because 7 is not a factor of -1. (D) 1 is a possible root because it is 1/1, and both 1 and 1 are factors of -1 and 16, respectively.

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