2x + 3 is a factor of 2x 4 + (a 2 + 1)x 3 3x...

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2x + 3 is a factor of 2x4 + (a2 + 1)x3 – 3x2 + (1 – a3)x + 3.

a. Show that 4a3 – 9a2 + 4 = 0.

b. Find the possible values of a.

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