Determine all of the roots of 2x^3 - 11x^2 + 4x + 5 = 0 if 1 is known to be one of the roots.

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If 1 is know to be one of the roots, then (x - 1) must be one of the factors.

Then, divide x - 1 into 2x^3 - 11x^2 + 4x + 5 to get:

2x^2 - 9x - 5 which factors into (2x+1)(x - 5)

Then, 2x+1 = 0

2x = -1

x = -1/2

and

x - 5 = 0

x = 5

Then, all the roots are -1, 1, 5

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