The function g(x) is defined as g(x) = x 9 7x 6 8x 3 ,

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The function g(x) is defined as g(x) = x9 − 7x6 − 8x3, x ∈ ℝ.

a. Write g(x) in the form x3(x3 + a)(x3 + b), where a and b are integers.

b. Hence find the three roots of g(x).

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