Question: Given that f(x) = a(x^3) - 8(x^2) - 9x + b is exactly divisible by (3x 2) and leaves a remainder of 6 when

Given that f(x) = a(x^3) - 8(x^2) - 9x + b

Given that f(x) = a(x^3) - 8(x^2) - 9x + b is exactly divisible by (3x – 2) and leaves a remainder of 6 when divided by x, find the values of a and b. Determine m and n so that 3x^3 + mx^2 – 5x +n is divisible by Both (x - 2) and (x + 1). factorize the resulting polynomial completely.

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