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Polynomial Puzzle (Posted on 2007-03-16) Difficulty: 3 of 5
Let p(x)=x^4+ax^3+bx^2+cx+d, where a, b, c, and d are constants.

If p(1)=-9, p(2)=-18, and p(3)=-27, find the value of ¼(p(10)+p(-6)).

See The Solution Submitted by Dennis    
Rating: 4.0000 (5 votes)

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Solution If there's only one answer... | Comment 1 of 7
...then it's -9. Taking p(x)=-9x + a fourth degree polynomial with the roots 1, 2, 3 (and another unknown one) fits the given points, so if the solution is unique, it must be the same as for this p(x).

  Posted by Federico Kereki on 2007-03-16 13:10:06
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