'Imaginary roots' presentation slideshows

Manipulate real and complex numbers and solve equations

Manipulate real and complex numbers and solve equations. AS 91577. Worksheet 1. Quadratics. General formula:. General solution:. Example 1. Equation cannot be factorised. Using quadratic formula. We use the substitution. A complex number. The equation has 2 complex solutions. Imaginary.

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200

Remainder/ Factor Theorem. End Behavior. Zeros. Polynomials. Grab Bag. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 500. 500. 500. 500. 500. Remainder/Factor Theorem 100.

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Pre-Calculus Midterm Exam Review

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Spring 2012 Student Performance Analysis

Spring 2012 Student Performance Analysis. Algebra II Standards of Learning. Presentation may be paused and resumed using the arrow keys or the mouse. Simplify Rational Expressions. SOL AII.1 The student, given rational, radical, or polynomial expressions, will

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Jeopardy

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Warm_Up

Warm_Up. Using the rational root theorem, determine all the rational roots for Determine the real and imaginary roots for. Example 7. Find the real and imaginary rational zeros for. Example 8. Find the real and imaginary rational zeros for. Your Turn.

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5.6 The Quadratic Formula and the Discriminant

5.6 The Quadratic Formula and the Discriminant. Algebra 2. Learning Target. Solve equations using the quadratic formula. Use the discriminant to determine the nature of the roots of a quadratic equation. Derive the quadratic formula from ax 2 + bx + c = 0 a ? 0.

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Warm-Up

Warm-Up. Determine the Factored Form of the following polynomial. Synthetic Substitution and Imaginary Roots. Learning Targets. Use synthetic substitution to evaluate our polynomial at different inputs Look at imaginary roots and determine how to write them in factored form

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MM2A4. Students will solve quadratic equations and inequalities in one variable.

Standards. MM2A4. Students will solve quadratic equations and inequalities in one variable. b. Find real and complex solutions of equations by factoring, taking square roots, and applying the quadratic formula. c. Analyze the nature of roots using technology and using the discriminant.

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6-5 Theorems About Roots of Polynomial Equations

6-5 Theorems About Roots of Polynomial Equations. Objectives. The Rational Root Theorem Irrational Root Theorem & Imaginary Root Theorem. The leading coefficient is 3. The constant term is 5. By the Rational Root Theorem, the only possible rational roots of the equation have

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Solving quadratic equations

Solving quadratic equations. A root, or solution of a quadratic equation is the value of the variable that satisfies the equation. Three methods for solving quadratic equations are: (1) Factoring (2) completing the square (3) the quadratic formula. Factoring.

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Quadratic Function

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6.5 Theorems About Roots of Polynomial Equations

6.5 Theorems About Roots of Polynomial Equations. Imaginary Roots. POLYNOMIALS and THEOREMS Theorems of Polynomial Equations. There are 4 BIG Theorems to know about Polynomials Rational Root Theorem Irrational Root Theorem Imaginary Root Theorem Descartes Rule. Example (Imag RT).

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The Discriminant

Chapter 3 Quadratic Equations. 3.5. The Discriminant. The Nature of the Roots. The quadratic formula. will give the roots of the quadratic equation. From the quadratic formula, the radicand, b 2 - 4 ac , will determine the Nature of the Roots. By the nature of the roots, we mean:

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2-7 The Quadratic Formula and Completing the Square

2-7 The Quadratic Formula and Completing the Square. The Quadratic Formula. You probably know the quadratic formula already.

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