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List the roots of f(x) = 24x3 – 10x2 -7x + 2:

a. -1/2, 1/4, 2/3
b. -1/2, 1/3, 1/2
c. -2/3, 1/2, 1/4
d. -2/3, 1/4, 2/3

Respuesta :

Panoyin
f(x) = 24x^3 - 10x^2 - 7x + 2
0 = 24x^3 - 10x^2 - 7x + 2
0 = (4x - 1)(3x - 2)(2x + 1)
0 = 4x - 1 or 0 = 3x - 2 or 0 = 2x + 1
1 = 4x 2 = 3x -1 = 2x
1/4 = x 2/3 = x -1/2 = x

The answer is A.

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