Factoring Quadratics with the Dizzy Diamond

Aug 10, 2012

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Factoring Quadratics with the Dizzy Diamond

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1. Factoring Quadraticswith the Dizzy Diamond

2. Find the Pattern

Factoring Quadratics

Guidelines for Factoring Quadratics. Always write the quadratic in standard form ax2 bx c.If a=1, then use the diamond method.If a?1, then use the bottoms up diamond method.Remember, always factor out (distributive property) any common factors in each of the terms before using the diamond method.

281 views • 6 slides

The Dizzy patient

The Dizzy patient. Vertigo Presyncopal dizziness hypoglycaemic dizziness feeling drunk sense of dysequilibrium unsteadiness loss of balance light headedness. Duration of symptoms Onset -?sudden Length of episode(s) Other neurology? ?Fever, headache, trauma Precipitating factors

749 views • 10 slides

The Dizzy Ranger

The Dizzy Ranger. Simulation Case Debriefing Material. Debriefing questions. What went right? What went wrong? How do you treat bradycardia secondary to high degree AV block? What are the indications and contraindications for emergent pacing?

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Factoring Quadratics: Simple Trinomial

Factoring Quadratics: Simple Trinomial. Recall , expanding. gives the following result:. The answer is called a Simple Trinomial because it fits the format given by ax 2 +bx+c and a =1 .

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Factoring Quadratics: Difficult Trinomial

Factoring Quadratics: Difficult Trinomial. ( a, b, and c have no common factors.). Method of DECOMPOSITION. A Difficult Trinomial fits the format given by ax 2 +bx+c where a, b, and c have no Common Factors and a ≠1 .

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Modeling Problems with Quadratics

Modeling Problems with Quadratics. Method 1: RREF. Uses three data points, a system of equations, and matrices. A quadratic equation can be found through any three points. Ex: (0,5) (2,3) (6,-29) -- ax²+bx+c=y 0a+0b+c=5 4a+2b+c=3 36a+6b+c=-29

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Quadratics

Quadratics . Expressions. Equations. Factoring. Solve by …. Setting = zero & Factoring . Removing Common Factors. ( )( ) = 0. How do you know which one to use ?. Factoring: Puzzle Method. Extracting Square Roots. u 2 = constant. Difference of Two Squares.

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5.2: Part 2-Solving Quadratics by Factoring

5.2: Part 2-Solving Quadratics by Factoring. Objective: Students will be able to solve a quadratic equation using factoring and the zero product property. When y=0 , what part of the graph of any function are we finding??? Any quantity multiplied by 0 = ______. . Zero Product Property.

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Factoring Quadratics: Grouping

Factoring Quadratics: Grouping. The method of Grouping for factoring is used when the quadratic has 4 or more terms where a group of them share a Common Factor but not all terms share this Common Factor. . (1) Look for the groups of terms that share a Common Factor and group these, if needed. .

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Factoring Polynomials The Diamond Method

Factoring Polynomials The Diamond Method. See if you can discover a pattern in the diamonds below. 10. 6. 4. -8. 5. 2. 2. 3. -1. -4. -2. 4. -5. 7. 5. 2. Fill in the diamonds below. 12. 6. -21. -40. 4. 3. -2. -3. 7. -3. -8. 5. 7. -5. 4. -3.

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The Dizzy Patient

Andrew M Behler, D.O., M.P.H. Department Chair, Metro Health Otolaryngology - Head and Neck Surgery. The Dizzy Patient. Disclosures. None. Vertigo: illusion of movement Ataxia: inability to co-ordinate movements (walking or of extremities), “ feel as if drunk ”

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The Dizzy Patient

The Dizzy Patient. Otologic evaluation. After reviewing this module, the student will have the ability to: Develop a broad working diagnosis of the dizzy patient Evaluate the dizzy patient by physical exam and know when to refer for advanced testing

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Factoring with the GCF

Factoring with the GCF. Simplest Type of Factoring. Is there something common in ALL terms?. GCF= Greatest Common Factor First look at the numbers. Is there a common factor with the numbers in all terms? Next look at the variables. Is there a common (or more than one) variable each term?

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2.5 – Factoring Quadratics Special Cases

2.5 – Factoring Quadratics Special Cases. Special Case #1: Perfect Squares You can recognize this case because the coefficient of x and the constant are both perfect squares. The coefficient of x has to be 2 x a x b!. Factor:. = 4. = 3. 4. 3. Check 2x4x3 = 24. Factor:. = 9.

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Unit #3: Quadratics 5-4: Factoring Quadratic Expressions

Unit #3: Quadratics 5-4: Factoring Quadratic Expressions. Essential Question: How is FOIL related to factoring?. 5-4: Factoring Quadratic Expressions. Quadratic Functions (you saw this in 5-1) A quadratic function is one whose largest term uses x 2

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Factoring Quadratics

Factoring Quadratics. 4.4. EXAMPLE 1. Factor ax 2 + bx + c where c > 0. Factor 5 x 2 – 17 x + 6. SOLUTION.

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4.4B Factoring Quadratics: Leading Coefficient ≠ 1 : Pattern (ac)

4.4B Factoring Quadratics: Leading Coefficient ≠ 1 : Pattern (ac). Divide out a common monomial if possible. Multiply (a)(c) Use the “X” to find factors of (ac) and b Use Lead coefficient with x FIRST in each factor Use factors of (ac) and b SECOND in each factor

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Solve Quadratics by Factoring

Solve Quadratics by Factoring. Zero Product Property If a*b = 0 then either a = 0 or b = 0. ZPP. Solve by factoring. Zoom 2:Zoom In. Zoom 6:ZStandard. Change to x's if you want to! Then replace g(t) with 0!!.

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X-box Factoring Quadratics February 5, 2016

X-box Factoring Quadratics February 5, 2016. Factor the x-box way. y = ax 2 + bx + c. x. q. Product a c. First and Last Coefficients. 1st Term. Factor q. x. q. p. Middle. Last term. Factor p. p. b= p + q Sum. Factor the x-box way. Example: Factor 3x 2 -13x -10.

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Factoring quadratics

Factoring quadratics. Information. Quadratic expressions. t 2. 2. A quadratic expression is an expression in which the highest power of the variable is 2. For example,. x 2 – 2,. w 2 + 3 w + 1,. 4 – 5 g 2 ,. The general form of a quadratic expression in x is:.

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