Write a polynomial that represents the product of three consecutive odd integers.

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Solution

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$L e t t h e t h r e e c o n s e c u t i v e o d d i n t e g e r s b e 2 x + 1, 2 x + 3, 2 x + 5 P (x) = (2 x + 1) (2 x + 3) (2 x + 5) P (x) = (4 x^{2} + 8 x + 3) (2 x + 5) P (x) = 8 x^{3} + 36 x^{2} + 46 x + 15$

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