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Unformatted text preview: by an even number from this maximum. So, f ( x ) = 3 x 2 + 2 x + 5 has no positive roots and has 2 or 0 negative roots. Vietas Formula says that real roots of f ( x ) must have a numerator which is a divisor of the last term c and a denominator which is a divisor of the rst term a . Last but not least, all of the roots must add up tob/a . This week, we will practice using these rules where the maximum number of roots is the number of roots and all roots happen once Test for a Root f ( x ) has a root a when f ( x ) = ( xa ) g ( x ) or f ( a ) = 0 Then use long division to remove the root from the polynomial....
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 Fall '10
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 Linear Algebra, Algebra, Polynomials, Integers

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