'Imaginary roots' diaporamas de présentation

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.

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).

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

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

Pre-Calculus Midterm Exam Review. I’m excited!. Is the graph a function or a relation?. Function. Function. Relation. State the domain of the function:. All real numbers except 1 or -1. All real numbers except 3 or -3. All real numbers except 5. All real numbers except 0 and 5.

Warm up – Solve by Taking Roots. Questions over HW?. The Discriminant. The Discriminant tells how many & what type of solutions the quadratic has. Put the quadratic in standard form first!.  If the discriminant is POSITIVE , then you will have 2 real roots.

Quadratic Function. Find the axis of symmetry and vertices: f(x) = 2x 2 – 5x + 1 g(x) = x 2 + 2√3x + 3 h (x ) = -3x 2 + 5x – 3 How many real roots does each function have? Can you factor the above equations?. Quadratic Function.

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

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.

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.

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

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.

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.

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:

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.

Jeopardy. Building Strong Roots. Divide & Conquer. Is this the end?. Explicitly Awful. You’re my boy Blue. $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.