Quadratics – Completing the Square A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial. Example 1: Binomial Squared Perfect.

Slides:

Advertisements

Similar presentations

Perfect Square Trinomials. Form for Perfect Square Trinomials: a 2 + 2ab + b 2 OR a 2 – 2ab + b 2.

Advertisements

Solving Quadratic Equations Using Square Roots & Completing the Square

EXAMPLE 1 Solve a quadratic equation by finding square roots Solve x 2 – 8x + 16 = 25. x 2 – 8x + 16 = 25 Write original equation. (x – 4) 2 = 25 Write.

Solving Quadratic Equations – Completing the Square It is assumed you have already watched the slideshow demonstrating how to complete the square on a.

+ Completing the Square. + In your notes: Simplify the following: (5 – 3i)(4 + 2i) 3.

Warm Up Write each expression as a trinomial. Factor each expression.

Completing the Square.

Factoring Polynomials. 1.Check for GCF 2.Find the GCF of all terms 3.Divide each term by GCF 4.The GCF out front 5.Remainder in parentheses Greatest Common.

Converting Quadratic Equations A step-by-step guide with practice.

Section 4.4 – Factoring Quadratic Expressions Factors of a given number are numbers that have a product equal to the given numbers. Factors of a given.

Factoring and Solving Polynomial Equations (Day 1)

Solving Quadratics: Factoring. What is a factor? Numbers you can multiply to get another number 2  3.

Factoring General Trinomials Factoring Trinomials Factors of 9 are: REVIEW: 1, 93, 3.

Factoring Polynomials by Completing the Square. Perfect Square Trinomials l Examples l x 2 + 6x + 9 l x x + 25 l x x + 36.

8-1 Completing the Square

  Different types of Quadratics:  GCF:  Trinomials:  Difference of Squares:  Perfect Square Trinomials: Factoring Quadratics.

Factoring - Perfect Square Trinomial A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial. Binomial Squared Perfect Square.

Quadratic Functions. Standard Form Factored form Vertex Form.

Sec 5.5 – Completing the Square: Day 1 Review: Square each of the following binomials. 1)(x + 7) 2 2)(x – 5) 2 (x + 7)(x +7) x 2 +7x +7x +49 x 2 +14x +49.

Completing the Square Solving Quadratics By Completing the Square Must be a perfect Square.

Essential Question: How is the process of completing the square used to solve quadratic equations? Students will write a summary of how they use completing.

Solve a quadratic equation by finding square roots

Notes Over 10.7 Factoring Special Products Difference of Two Squares.

Table of Contents Quadratics – Completing the Square A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial. Example 1:

Grade Eight – Algebra I - Unit 9 Linear Equations and Their Graphs

Do Now Factor the expression. x2 + 18x + 81 x2 - 22x

3.7 Completing the Square Objective:

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Objectives Factor perfect-square trinomials.

Solving Quadratic Equations by Completing the Square

Objectives Solve quadratic equations by completing the square.

Solving Quadratic Equations by Completing the Square

Factoring the Difference of Two Squares

Bellwork Solve the equation Using square root:.

Creating Perfect Square Trinomial

Solving Quadratics by Completing the Square

Factoring Trinomials 1 February 1, 2017.

Solving Quadratic Equations by Completing the Square

Completing the Square (3.2.3)

Multiplying Polynomials

Factoring Special Cases

Solving Quadratic Equations by Completing the Square

Section 4.7 Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

3.4 Solving Simple Quadratic Equations, Completing the Square, and Solving Equations using Completing the Square.

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Completing the Square with Parabolas

Solving Quadratic Equations by Completing the Square

Solving Quadratics By Completing the Square

Completing the Square.

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Factoring Polynomials by Completing the Square

How do I solve quadratic equations by factoring?

6-3 Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Presentation transcript:

Quadratics – Completing the Square A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial. Example 1: Binomial Squared Perfect Square Trinomial

Completing a perfect square trinomial means to take a binomial of the form … … and turn it into a perfect square trinomial. Our goal is to Complete a Perfect Square Trinomial.

1)The coefficient of the squared term must be 1. In the problems that follow, it will always be 1. 2)Multiply the coefficient of the linear term by ½. 4) Add the result of step 3 to the binomial. 3) Square the result of step 2. 5) Factor the perfect square trinomial into a binomial squared. Complete a Perfect Square

Example 2: Fill in the blank with a number that will turn the binomial into a perfect square trinomial. Consider the binomial:

Multiply the coefficient of the linear term by ½. Square the result. Add the result to the binomial. Factor to show that the trinomial is now a perfect square trinomial

Example 3: Fill in the blank with a number that will turn the binomial into a perfect square trinomial. Consider the binomial:

Multiply the coefficient of the linear term by ½. Square the result.

Add the result to the binomial. Factor to show that the trinomial is now a perfect square trinomial