'Rational roots' diaporamas de présentation

Pre-Calculus Midterm Exam Review

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Review 4.1-4.4

Review 4.1-4.4. Pre-Calculus. Factors, Roots, Zeros. For our Polynomial Function :. The Factors are: ( x + 5) & ( x - 3) The Roots/Solutions are: x = -5 and 3 The Zeros are at: (-5, 0) and (3, 0). Rearrange the terms to have zero on one side: . Factor: .

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Quadratic Equations

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5-5 Completing the Square

5-5 Completing the Square. CA STANDARD. SWBAT: Solve quadratic equations by using the Square Root Property Solve quadratic equations by completing the square. Square Root Property/ Equations with Rational Roots. Solve x 2 + 10x + 25 = 49 by using the Square Root Property.

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5-Minute Check Lesson 4-4A

5-Minute Check Lesson 4-4A. Math ador Gameplan. Section 4.4: The Rational Root Theorem CA Standards: MA 4.0 Daily Objective (10/15/12):

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Warm Up Factor completely.

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Rational Root Theorem

Rational Root Theorem. Possible Rational Roots What are the possible rational roots of Factors of the constant term, 6 , are Factors of the lead coefficient, are Possible rational roots are . Possible Rational Roots. What are the possible rational roots of .

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Fundamental Theorem of Algebra and Finding Real Roots

Fundamental Theorem of Algebra and Finding Real Roots. Honors Advanced Algebra Presentation 2-6. Warm-Up. Given the roots, write the factors of the quadratic and the polynomial. x = -3, 2 x = 4, 3 x = -5, 5 x = 1, 1. Roots of a Polynomial.

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The Quadratic Formula.

The Quadratic Formula. What Does The Formula Do ?. The Quadratic formula allows you to find the roots of a quadratic equation (if they exist) even if the quadratic equation does not factorise. The formula states that for a quadratic equation of the form :. ax 2 + bx + c = 0.

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Descartes Rule

Descartes Rule. Descartes' Rule of Signs is a useful help for finding the zeroes of a polynomial. Descartes' Rule of Signs is a useful help for finding the zeroes of a polynomial, assuming that you don't have the graph to look at.

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Section 3-5 Finding Real Roots of Polynomial Equations

Section 3-5 Finding Real Roots of Polynomial Equations. Objectives Identify the multiplicity of roots Use the Rational Root Theorem and the Irrational Root Theorem to solve polynomial equations. Finding Real Roots of Polynomial Equations.

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Rational Root Theorem

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5.5 Theorems about Roots of Polynomial Equations

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Roots & Zeros of Polynomials III

Roots & Zeros of Polynomials III. Using the Rational Root Theorem to Predict the Rational Roots of a Polynomial. Created by K. Chiodo, HCPS. Find the Roots of a Polynomial. For higher degree polynomials, finding the complex roots (real and imaginary) is easier if we know one of the roots.

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4.2 Real Zeros

4.2 Real Zeros. Objectives: Use the factor theorem. Factor a polynomial completely. Finding Real Zeros.

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4.6 The Quadratic Formula and the Discriminant

4.6 The Quadratic Formula and the Discriminant. Objectives: Solve quadratic equations by using the Quadratic Formula Use the discriminant to determine the number and type of roots for a quadratic equation. Quadratic Formula.

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Using Theorems related to polynomials

Using Theorems related to polynomials. The number of sign changes tells us the number of positive and negative real roots of a polynomial . Descartes Rule of Signs. p/q tells the possible rational roots of a polynomial where p is the constant and q is the beginning coefficient.

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Theorems for 4.3

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