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Relationship Between Roots and Coefficients
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Lowell Prange
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Aug 27, 2003 16:37 PDT
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A textbook briefly mentions that the three roots of 8X^3 - 6X -1 = 0 must
add up to zero because zero is the coefficient of the square
term. "(assumed from the relationship between roots and cooeficients once
studied in theory of equations)"
Does anyone know a way to generalize this to where the X^2 term has a
coefficient other than zero? It seems to not work for non-zero co-efficients.
Is there a good internet resource on theory of equations? The books
statement is a little cryptic, like this is something I slept through in an
earlier class, or it is something ahead. I always loved when my calculus
I,II,and III text would list a theorem and explain that it would be
explained in advanced calculus.(a class many students there wouldn't
take) It always smelled a little like a recursive definition.
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Q: How many mathematicians does it take to screw in a light bulb? A:
One. He gives it to six Californians, thereby reducing the problem to the
earlier joke.
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