Imaginary and real roots
[DOC File]Imaginary and Complex Numbers
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Find the roots of the function . 14. Given the function , find the largest integral value for B that would give the function imaginary roots. 15. Given the equation , find all the values of c that would give the equation real, rational, and equal roots. 16. Describe the nature of the roots of the following: a) b)
[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).
[DOC File]Stability Analysis for VAR systems
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The persistence of the shock depends on the magnitude of the roots. The larger they are the more persistent will be the shocks. -If the roots are real and
[DOC File]Honors/Accelerated Precalc-Midterm Exam Review
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Two roots of the equation are and . Find the remaining roots. 16.)_____ 17. Find all real zeros of . Use the rational root theorem and synthetic division. 17.)_____ 18. Sketch the graph of the equation (without a graphing calculator). Use the . zeros. of the function and the . end. behavior. of the function. 19
[DOCX File]Alg - Loudoun County Public Schools
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The Fundamental Theorem of Algebra concludes that including imaginary roots and multiple roots, an . n-th degree polynomial equation has exactly . n. roots; the related polynomial function has exactly . n. zeros. Exploration: A polynomial can have, at most, the same number of real roots as its highest degree.
[DOC File]Quadratic Roots Homework - Mr. Nickels
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(4) real, rational, and unequal The roots of the equation are (1) real and irrational (3) real, rational, and unequal (2) real, rational, and equal (4) imaginary Find all values of k such that the equation has imaginary roots. If 2 + 3i is one root of a quadratic equation with real coefficients, what is the sum of the roots of the equation?
[DOC File]Polynomial Functions and End Behavior
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U5 Day 10 Real Roots in Polynomial Equations (Section 6.5) From section 5-3 the Zero _____ Property defines how we can find the roots (or solutions) of the polynomial equation P(x) = 0 by setting each _____ equal to 0. Factor. Example 1: (Factor out the GCF) Example 2: Use a simple substitution here. ...
[DOCX File]Lakeshore High School
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Give both real and imaginary roots if applicable.11. _____ 2 z 2 - 16z-1768=0 . 12. Solve by using the quadratic formula. Give your answers in simplest radical form.12. _____ Give both real and imaginary roots. 4 v = v-6 v-4 . 13. Solve by factoring. Be sure not to lose or gain roots.13. ...
[DOC File]Exploration Guide: Roots of a Quadratic
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Quadratics With Imaginary Solutions. Some quadratic functions have no real solutions. In that case, the solutions are complex numbers. Complex numbers are written as a + bi, where a and b are real numbers and i = . The value a is the real part of the complex solution, and bi is the imaginary part. Use the Gizmo to graph y = 3x2 + x − 7.
[DOC File]Winston-Salem/Forsyth County Schools / Front Page
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2. List all zeros or roots of your polynomial; be sure to include at least one of each of the following on your design: one double root (multiplicity of two), at least 2 real root, and imaginary roots. It might be necessary to go back to your design and modify it according to these root requirements. 3.
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