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

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F(x) = x3 – 2x2 + ax + b

F(x) has a factor of x – 3 and leaves a remainder of 15 when divided by x + 2.

a. Find the value of a and of b.

b. Solve the equation f(x) = 0.

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