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[DOC File]Summary for Polynomial Functions
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Roots can be real numbers or imaginary numbers or a combination of both. For real polynomials i.e., polynomials with Integer coefficients, imaginary roots always come in pairs. For graphing polynomial functions, use the strategy outlined in class; (on my web page). Features of …
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[DOC File]CHAPTER 2: FUNCTIONS, EQUATIONS, AND INEQUALITIES
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If a graph does not ever cross the x-axis, there are no real number solutions for the zeros of the function. Example: is not a real number since there is no real number x such that . THE NUMBER i is defined such that. COMPLEX NUMBERS. A . complex number . is a number of the form where a and b are real numbers. The number a is said to be the ...
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[DOC File]Algebra 2, with Trig
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Graph the function. (You will need to set your window.) There is one real root at . ... cn are complex numbers. (real and/or imaginary) The Number of Zeros of a Polynomial Function Theorem: If is a polynomial function of degree , then has exactly n complex . zeros, provided each zero is counted according to its multiplicity.
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[DOC File]Investigation: Complex Arithmetic
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These numbers are called imaginary numbers. All numbers are considered complex numbers, whether they are imaginary, real, or both. Complex numbers can be written in the for a + bi. ... the y-axis represents the imaginary. Graph each number on the complex plane on the left. Then name each complex number on the complex plane on the right.
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[DOC File]Precalculus Standards Map - Instructional Materials (CA ...
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Represent complex numbers and their operations on the complex plane. N-CN 4. (+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given …
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[DOC File]Worksheet 38 (7
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7.1 Complex Numbers. Summary 1: A . complex number. is any number that can be expressed in the form . a + bi, where a and b are real numbers. The standard form. of a complex number is . a + bi. The real number . a. is called the . real part. of the complex number and the real number . b. is called the . imaginary part. of the complex number.
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[DOC File]Natural Numbers, Whole Numbers, Integers, Rational and ...
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10. A graph is the mapping of all of the points on a coordinate system that satisfy an equation. Sketch the graph of x + y = 4 above where you plotted the points. 11. Find a point that does not satisfy x + y = 4, then plot it on the coordinate system. ... Integers, Rational and Irrational Numbers, Real Numbers, and Imaginary Numbers ...
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[DOC File]Mathematics Enhanced Sample Scope and Sequence
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Recognize a complex number as a number that can be written as a + bi where a and b are real numbers and i is the principal square root of –1. Recognize pure imaginary numbers. Simplify square roots with negative arguments. Represent a complex number geometrically in the coordinate plane. Add, subtract, and multiply complex numbers.
real and imaginary graph

Real and imaginary numbers graph