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Jamie and Billy each think of a polynomial. Each of their polynomials is monic, has degree 3, and has the same positive constant term and the same coefficient of x. The product of their polynomials is \[x6+2x5+2x4+18x3+33x2+40x+16.\]What is the constant term of Jamie's polynomial?

 Jul 28, 2018
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The constant times the constant = the new constant

so the original constants have to be 4

 

[Am I missing something? ]

 Jul 28, 2018

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