F(x) = 2x 3 + (a + 1)x 2 ax + b When f(x) is divided

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F(x) = 2x3 + (a + 1)x2 – ax + b

When f(x) is divided by x – 1, the remainder is 5.

When f(x) is divided by x – 2, the remainder is 14.

Show that a = - 4 and find the value of b.

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