MATH135 Chapter : FLT Propositions & Complex Numbers Propositions
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MATH135 Full Course Notes
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If and are integers, not all zero, and , then. The three integers and are a pythagorean triple if and only if the three integers are a pythagorean triple. and. If and are a pythagorean triple, then one of the integers or is even and the other is odd. If and , then there exist integers and so that and. If then there exists an additive inverse of , written with the property that. If then there exists a multiplicative inverse of , written , with the property that . If and are complex numbers, then if and only if. If and are two complex numbers in polar form, then. If is the polar form of a complex number , then the solutions to are. For all complex polynomials with , there exists a so that. If and are real (complex) polynomials and is not the zero polynomial, then there exist unique real (complex) polynomials and such that where or.