Answer the following questions about the equation below. x³ - 8x+8 = 0 (a) List all rational roots that are possible according

Question

Answer the following questions about the equation below.
x³ - 8x+8 = 0
(a) List all rational roots that are possible according to the Rational Zero Theorem. Choose the correct answer below.
A. ±1
B. ±8
C. ±1, ±2, ±4, ±8
D. 1,2,4,8
(b) Use synthetic division to test several possible rational roots in order to identify one actual root.
One rational root of the given equation is
(Simplify your answer.)

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