P(x) is a polynomial of degree 3.
Find P(x), given that :
- y = P(x) is an odd function.
- (x - 2) is a factor of P(x).
- when P(x) is divided by (x + 4), the remainder is 96.
I don't get how to do it, and the given solution doesn't make sense to me because the first line says to let P(x) = ax^{3} + bx. Shouldn't it be let P(x) = ax^{3} + bx^{2} + cx + d? How do they know that b and c are 0?
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