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The Rational Root Theorem

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Is a useful way to find your initial guess when you are trying to find the zeroes (roots) of the polynomial. THIS IS JUST A TEST NOT ANSWER

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Example

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Now Check with division.

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Ex Y = 2x 3 + 3x - 5

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Try y = x 3 +x 2 -17x+15

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The fundamental Theorem of Algebra Each nth degree polynomial can be factored in n linear terms

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The fundamental Theorem of Algebra Counting imaginary roots and multiple roots, an nth degree polynomial equation has exactly n roots, the related polynomial function has exactly n zeros

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The fundamental Theorem of Algebra If a and b are rational numbers and b is an irrational number and if a + b is a root of a polynomial equation with rational coefficients, then the conjugate a - b is also a root. This is also true for imaginary numbers. A + bi also has a root A – bi.

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Homework Worksheet 23-39odd

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