Real or imaginary solutions polynomials
[DOC File]teachers.henrico.k12.va.us
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Sketch the graphs of the following polynomials given the constraints. 13. Sketch a 4th degree polynomial with a positive leading coefficient, a double root at 2 and 2 imaginary roots. ... What is the number of real solutions? _____ (c) What is the number of imaginary solutions? _____ (c) What is the number of imaginary solutions? ____ (d) What ...
[DOC File]PED-HSM11A2TR-08-1103-005-L01.indd
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Class Date Solving Polynomial Equations. 5-3 Practice Form G Find the real or imaginary solutions of each equation by factoring. 1. 8x3 ( 27 = 0
[DOCX File]STANDARD - Virginia
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Solutions of quadratic equations are real or a sum or difference of a real and imaginary component. Complex solutions occur in conjugate pairs. Quadratic equations with exactly one real root can be referred to as having one distinct root with a multiplicity of two.
COURSE TITLE: Algebra II-Trigonometry
* use the properties of real numbers to simplify expressions * solve equations using the properties of equality ... * add, subtract, and multiply polynomials * factor polynomials * divide polynomials using factoring, long division, and synthetic division ... * solve quadratic equations that have pure imaginary solutions * add, subtract ...
[DOCX File]Oxford Prep Math Three - Home
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Students also understand the graphical (x-intercepts as real solutions to functions) and algebraic (solutions equal to zero by methods such as factoring, quadratic formula, the remainder theorem, etc.) processes to determine when solutions to polynomials are real, rational, irrational, or imaginary.
[DOCX File]Teacher’s Name: Holly McCarty
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Real part, imaginary part, complex number, pure imaginary number, conjugate, principal square root I can add, subtract, multiply, and divide complex numbers. I can solve an equation that has complex solutions.
[DOC File]Algebra 2, with Trig
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Polynomials. Sections Covered: 3.1 Remainder and Factor Theorems. ... Solutions = Roots = Zeros = x-Intercepts. ... (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 .
[DOC File]ALGEBRA 2H - Weebly
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• Find all real and/or imaginary solutions of polynomial equations? • Use long division or synthetic division to find factors and remainders of polynomials? • Write quadratic equations in standard, vertex and y= form? • Write equations of functions given features of the graph or given the graph itself?
[DOC File]Algebra II Jumpstart Notes
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Polynomials . Example: Cubic. Degree 3 . Zeros. 1. Real Zeros are the x values of the x intercepts. 2. Zeros are also called roots, or solutions . 3. If the zero is x = h, then its factor is (x-h) 4. The number of zeros = the degree (this includes real, imaginary and double roots) Types. 1.
[DOCX File]Mrs. Higgins - Home
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synonyms: x-intercepts, roots, solutions. Standard form of a Polynomial: polynomial written from highest. exponent to lowest exponent. Types of Polynomials by Degree *linear: degree 1 *quadratic: degree 2 *cubic: degree 3 * quartic: degree 4 *The degree (n) of the polynomial gives a hint as to shape of the curve. *number of zeros = n
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