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The Rational Root Theorem
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The Rational Root Theorem
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 = 2x3 + 3x - 5
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Try y = x3+x2 -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