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

Question

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

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Rational Root Theorem: The Rational Root Theorem states that any rational root, in the form of p/q (where p is a factor of the constant term and q is a factor of the leading coefficient), must be a factor of the constant term when the leading coefficient is 1.Leading Coefficient: Since the leading coefficient is -1, the possible values for q are ±1. This simplifies the possible roots to just the factors of the constant term, which is 7.Possible Roots: The factors of 7 are ±1 and ±7. So, the possible rational roots are 1, -1, 7, and -7.Check Choices: Check the choices given: (A) 1, (B) 7, (C) -7, (D) -1. All of them are listed as possible roots.

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