Review: 6.5c Mini-Quiz 1. Solve: 4x2 – 40 = –27x.

Slides:



Advertisements
Similar presentations
2.6 Factor x2 + bx + c.
Advertisements

How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.
Perfect Square Trinomials. Form for Perfect Square Trinomials: a 2 + 2ab + b 2 OR a 2 – 2ab + b 2.
2.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
Objective Solve quadratic equations by completing the square.
Section 4.6 – Completing the Square Students will be able to: To solve equations by completing the square To rewrite functions by completing the square.
2-4 completing the square
Solving Quadratic Equations by Completing the Square
Solving Quadratics by Completing the Square, continued Holt Chapter 5 Section 4.
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.
Quadratics Solving equations Using “Completing the Square”
Solve: The length of a rectangular picture frame is 4 inches less than its width. The area of the picture frame is 320 square inches. Find the dimensions.
Chapter 10 Section 3 Solving Quadratic Equations by the Quadratic Formula.
Section 4.7 – The Quadratic Formula Students will be able to: To solve equations using the Quadratic Formula To determine the number of solutions by using.
Review: 6.5f Mini-Quiz 1. Solve: Verify by factoring. 2. Solve by Graphing: y = x 2 – 4x. Verify by factoring.
Example 1A Solve the equation. Check your answer. (x – 7)(x + 2) = 0
4.6 Completing the Square Completing a perfect square trinomial allows you to factor the completed trinomial as the square of a binomial. You can solve.
Solving Quadratic Equations by Factoring. The quadratic equation is written in the form ax 2 + bx + c = 0 To solve quadratic equations by factoring we.
Unit 2 – Quadratic, Polynomial, and Radical Equations and Inequalities
Review: 6.5e Mini-Quiz 1. Solve: 16x 2 – 24x = – 4x Solve: (x – 3)(x – 2) = 30.
Completing the Square SPI Solve quadratic equations and systems, and determine roots of a higher order polynomial.
Factoring – Day 4 Factoring Trinomials Objective: To factor trinomials whose quadratic coefficient is 1.
Section 5-5: Factoring Using Special Patterns Goal: Factor Using Special Patterns.
Notes Over 10.7 Factoring Special Products Difference of Two Squares.
Factoring Polynomials.
Section 5-3: Factoring x 2 + bx + c Goal: Factor trinomials of the form x 2 + bx + c.
Completing the Square. Objectives Solve quadratic equations by completing the square.
Do Now Factor the expression. x2 + 18x + 81 x2 - 22x
Solve Quadratic Functions by Completing the Square
Solve Quadratic Equations by Completing the Square
Algebra 1 Warm up #3 Solve by factoring:.
7.3 Solving Equations Using Quadratic Techniques
Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
Solving Quadratic Equations by the Complete the Square Method
Section 5-3: X-intercepts and the Quadratic Formula
Solving Quadratic Equations by Completing the Square
Factoring Using Special Patterns
Solving Quadratic Equations
The Quadratic Formula.
Section 11.1 Quadratic Equations.
Warm-Up 5 minutes List all the factors of each number. 1) 10 2) 48
2.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
5.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
7-4 Factoring ax2 + bx + c Warm Up Lesson Presentation Lesson Quiz
Answers to Unit 1, Lesson 1 Exercises
Review: 6.5b Mini-Quiz 1. Solve: 9x2 – 100 = 0.
8-8 Completing the Square Warm Up Lesson Presentation Lesson Quiz
Objective Solve quadratic equations by factoring..
Review: 6.4e Mini-Quiz 1. Factor 5x2 – Factor x4 – 25x2
Class Greeting.
13.3 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
5.4 Completing the Square.
Class Greeting.
Review: 10.1a Mini-Quiz 1. Solve 5y = 125y2
Review: 8.3a Mini-Quiz Use elimination to solve the system of equations. 4 x + 3y = x + 3y = 0 Use elimination to solve the system of equations.
Review: 10.3a Mini-Quiz Solve by using the Quadratic Formula.
Review: 6.4f Mini-Quiz 1. Factor.
Class Greeting.
Review: 9.3a Mini-Quiz Simplify . Simplify.
Review: 10.2b Mini-Quiz The revenue R (in dollars) from selling x units of an infant stroller is modeled by
Review: 10.1b Mini-Quiz Five hundred dollars ($500) is deposited in an account. At the end of 2 years, the balance in the account is $605. The interest.
Review: 6.4c Mini-Quiz 1. Determine whether is a perfect square trinomial. If so, factor it. 2. Determine whether is a perfect square trinomial. If.
Class Greeting.
Review: 9.3c Mini-Quiz Simplify 108 − Simplify.
Review: 6.5d Mini-Quiz 1. Solve: 9x2 + 12x + 4 = 0.
8.2 Mini-Quiz Review: 6.5a Mini-Quiz Solve Solve.
Class Greeting.
Review: 6.4d Mini-Quiz 1. Factor x3 – 8 2. Factor x3 + 64
Review: 6.4a Mini-Quiz 1. Factor Factor x2 4. Factor 16
Warm Up Find each product. 1. (x – 2)(2x + 7) 2. (3y + 4)(2y + 9)
Presentation transcript:

Review: 6.5c Mini-Quiz 1. Solve: 4x2 – 40 = –27x

Objective: Students will solve quadratic equations of the form ax2 + bx + c = 0 by factoring Perfect Square Trinomials.

Solving Quadratic Equations by Factoring Perfect Square Trinomials Chapter 6 – Factoring and Solving Equations Section 5d Solve equations of the form ax2 + bx +c = 0

Check to see if it is a perfect square trinomial. Solve (2x + 9) 2 = 0 Check to see if it is a perfect square trinomial. ? 2(9)(2x) = 36x 36x = 36x TRUE Solve: (2x + 9) 2 = 0 2x + 9 = 0 or 2x + 9 = 0 2x = –9 x = {–4.5} CHECK YOUR ANSWER

Solve: 4x2 + 12x + 9 = 0 (2x + 3) 2 = 0 2x + 3 = 0 or 2x + 3 = 0 2x = –3 Answer: x = {- 3 2 }

Homework 368/27-31 odd

Lesson Summary: Objective: Students will solve quadratic equations of the form ax2 + bx + c = 0 by factoring Perfect Square Trinomials.

Preview of the next Lesson: Objective: Students will solve quadratic equations by using multiple steps including expansion and FOIL.