F(x) = x 3 5x 2 + ax + b F(x) has a factor of x

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F(x) = x3 – 5x2 + ax + b

F(x) has a factor of x – 2.

a. Express b in terms of a.

b. When f(x) is divided by x + 1, the remainder is -9.

Find the value of a and of b.

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