Which of the following represents the set of possible rational roots for the polynomial shown below? This question is a review from Algebra 2. Remember that possible rational roots take the form of p/q. Where p is a factor of the constant and q is a factor of the leading coefficient.
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2x^3+5x^2-8x-20=0

Respuesta :

all possible roots:

+-1 , +-1/2, +-2, +-4, +- 5, +- 5/2, +- 10, and +- 20


solve for x

2x^3+5x^2-8x-20=0
(2x +5)(x + 2)(x - 2) = 0
2x + 5=0; x = -5/2
x + 2 =0; x = - 2
x - 2 =0; x = 2

rational roots/zeros: x = -5/2, -2, 2
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