Question

List all rational roots that are possible according to the Rational Zero Theorem.

a) (+1)
b) (+8)
c) (1, 2, 4, 8)
d) (+1, +2, +4, +8)

Answer 1

The Rational Zero Theorem provides a list of possible rational roots for a polynomial equation. For the given question, the possible rational roots are (+1) and (+8).

Step-by-step explanation:

The Rational Zero Theorem provides a list of possible rational roots for a polynomial equation. The theorem states that if a polynomial has integer coefficients, then any rational root of the polynomial must be of the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

For the given question, the possible rational roots according to the Rational Zero Theorem are: (+1) and (+8). This means that (+1) and (+8) are the potential solutions for the equation.