Which of the following represents the set of possible rational roots for the polynomial shown below?
2x³+5x²-8x-10=0
a. {±2/5, ±1/2, ±1, ±2, ±2/5, ±1/5, ±1/10}
b. {±1/2, ±1, ±2, ±5/2, ±5, ±10}
c. {±1, ±2, ±4, ±5, ±10, ±20}
d. {1/2, 1, 2, 5/2, 4, 5, 10, 20}

Option b is correct

Step-by-step explanation:

Given the polynomial

we have to find the set of possible rational roots for the polynomial.

Rational root theorem states that if P(x)  has any rational roots then they must be of form

Here

Factors of 10=1, 2, 5, 10

Factors of 2=1, 2

Possible rational roots are

Option b is correct

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step-by-step explanation: