Question

A polynomial function h(x) with integer coefficients has a leading coefficient of 1 and a constant term of -3. According to the Rational Root Theorem, which of the following are possible roots of h(x)?

A. -1
B. 1
C. -3
D. 11

Answer 1

The possible roots of the polynomial function are -1 and -3.

Step-by-step explanation:

The Rational Root Theorem states that if a polynomial function with integer coefficients has a rational root p/q, where p is a factor of the constant term and q is a factor of the leading coefficient, then p/q is a possible root.

In this case, the constant term is -3, which means the possible factors are ±1 and ±3. The leading coefficient is 1, so the possible factors are ±1. Therefore, the possible rational roots are:

• A. -1
• C. -3

So, the correct answers are A and C.