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9 Cards in this Set
- Front
- Back
Zero Product Property |
If a+b= 0 a= 0 b = 0 c=0 0= 2x (x+3)(x+2)=0 ×=0 × =-3 ×=-2 |
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Factor Theorem |
If a is a zero then (x-a) is a factor. If (×-a) is a zero then a is a zero |
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Theroem 2 Remainder Theorem |
If p(x) is divided by (x-a) then p(a) is the remainder |
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Corollaray |
If x-a is a factor of p(x) then p(a) = 0 P/q |
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#3 Rational root theorem |
For a polynomial p(x) with integer coefficients, yhen any rational |
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#4 Descartes Rule of Signs |
The # of positive real zeros of a polynomial p(×) is equal to the number of sign changes of the term of p(x) OR is less than this by an even number Pt2 number of p(x) is equalbto tue number of sugn changes of the term p(-x) OR is less than this by a even number. |
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#5 Fundamenta theorem |
P(x) is a polynomial of a degree n greater than , than p(x) at least one solutiin with complex numbers |
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6 imaginary Root Theorem |
If p(x) has real corfficiebys then if a+bi is a zero do is a-bi |
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Irrational root theorem |
If p x has a ational corfffxients then if a + {b a- [b
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