MAC1105 Lecture Notes - Lecture 19: Natural Number, Polynomial

• School: Miami Dade College
• Department: Mathematics: Calculus & Pre-Calculus
• Course: MAC1105
• Professor: Montañez

Document Summary

5. 3 complex zeros: fundamental theorem of algebra notes: sterling. Provide a generalization to each of the key terms listed in this section. Complex variables are variables that are in complex number systems. This is when every complex polynomial function, which is labeled with f (x) of degree, which should be n 1, has at least one complex zero. Every complex polynomial function, which is labeled with f (x) of degree, which should be n 1, and actually have exactly n complex zeros, which some of them may actually repeat. What would be the theorem and corollary for conjugate pair theorem: conjugate pairs theorem: theorem. Let f (x) be any polynomial with its coe cients are actually real numbers. If r = a + bi is actually a zero of f , then its complex conjugate, which is r = a bi, is also a zero of f : conjugate pairs theorem: corollary.