Question

Which of the following are possible rational roots of the polynomial

Check all that apply.
F(x) = 3x²-3x+
O A.
A. t
11/1
B. ±1
C. +5
D. ±3
O E.
115

Answer 1

Answer: we cannot determine which of the given options A, B, C, D, and E are possible rational roots of the polynomial F(x) = 3x² - 3x + c without knowing the value of the constant term c.

Explanation:

To determine the possible rational roots of the polynomial F(x) = 3x² - 3x + c, we can use the Rational Root Theorem. According to the Rational Root Theorem, if a polynomial has a rational root p/q (where p and q are integers and q ≠ 0), then p must be a factor of the constant term c, and q must be a factor of the leading coefficient 3.

In this case, the constant term c is not specified, so we cannot determine the possible rational roots without that information.

Therefore, we cannot determine which of the given options A, B, C, D, and E are possible rational roots of the polynomial F(x) = 3x² - 3x + c without knowing the value of the constant term c.