What are imaginary roots

    • [DOCX File]Chapter One

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      a. How many total roots does the function have (counting multiplicity)? b. What are the possible combinations of real and imaginary roots it could have? c. If one root is , what is another root? What is the quadratic factor that gives these two roots? Factor the following polynomial functions over the integers and find all their roots. 2. 3.

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    • [DOC File]Richland Parish School Board

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      For what values of k will the equation have imaginary roots?15d. _____ 15e. Name three values of k for which the given equation has rational roots.15e. _____ Find an equation of the quadratic function described. 16. Its graph is a parabola with x-intercepts 2 and -1 and y-intercept 6.16.

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    • [DOC File]Exploration Guide: Roots of a Quadratic

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      An imaginary number is a complex number, a + bi, where a = 0, b ( 0, and i = . Students are to use the quadratic formula on the Home screen to identify all complex roots for the polynomial. Problem 3 – The Mixed Case Students are provided with a polynomial that has both real and imaginary roots.

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    • The discriminant

      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).

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    • [DOC File]“Algebra II” – Unit I

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      a) 2 imaginary roots? Explain. b) 3 imaginary roots? Explain. c) 4 imaginary roots? Explain. 6. Find the 5th term of the binomial expansion: 7. Expand . 8. Write the equation of a polynomial that has integer coefficients and zeros of x = 2 and x = 3 – i. 9. Use long division to solve . 10.

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    • [DOC File]Outline Polynomials

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      Determines real or imaginary nth roots of real numbers. How do you find real and imaginary roots? All 5.8 * Square roots only – real and imaginary 19 - Simplifies radical expressions and their products, quotients, sums and differences, including rationalizing denominators by using properties of radicals.

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    • [DOC File]Name:

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      Give both real and imaginary roots if applicable. Solve by using the quadratic formula. Give your answers in simplest radical form. Give both real and imaginary roots. 16. Solve by factoring. Be sure not to lose or gain roots. 17. . Solve by whichever method seems easiest. Be sure not to lose or gain roots.

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    • [DOCX File]St. Tammany Parish Public Schools

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      The imaginary unit, written i, is the number whose square is -1. i 2 =-1 and i= -1 To write the square root of a negative number in terms of i, we use the property that if a is a positive number, then -a = -1 ⋅ a =i a.

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    • [DOC File]Summary for Polynomial Functions

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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.

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    • Activity overview: - Texas Instruments

      Unit 5 concepts (the Number of Roots Theorem, Rational Root Theorem, and synthetic division to find exact roots). What an imaginary root looks like on a graph (i.e. imaginary roots cannot be located on a graph because the graph is the real coordinate system.) (Students in Algebra II will be able to sketch the general graph with the correct ...

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