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Answer:
f(x) = x³ -6x² -16x. (Simplified)
Explanation:
Given:
Zeros: -2, 0, 8; degree: 3
To begin, write the polynomial in factored form involving the zeros:
f(x) = x(x + 2)(x - 8).
If you were to convert this to standard form, you would FOIL the factors:
f(x) = x(x + 2)(x - 8)
f(x) = x(x² -6x -16)
f(x) = x³ -6x² -16x. This is your equation in standard form.