Lesson 4.4 Solving ax 2 +bx+c=0 by factoring. Objective Factor to solve equations of the form ax 2 +bx+c=0.

Slides:



Advertisements
Similar presentations
4.3 Solve x2 + bx +c = 0 by Factoring
Advertisements

Many quadratic equations can not be solved by factoring. Other techniques are required to solve them. 7.1 – Completing the Square x 2 = 20 5x =
7.1 – Completing the Square
+ Completing the Square. + In your notes: Simplify the following: (5 – 3i)(4 + 2i) 3.
2-4 completing the square
The Quadratic Formula..
6 – 4: Factoring and Solving Polynomial Equations (Day 1)
9.4 – Solving Quadratic Equations By Completing The Square
What are quadratic equations, and how can we solve them? Do Now: (To turn in) What do you know about quadratic equations? Have you worked with them before?
Exploring Quadratic Functions and Inequalities
Pre calculus Problem of the Day Homework: p eoo, odds Factor the following:
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Polynomials and Polynomial Functions Chapter 5.
Quadratics Solving equations Using “Completing the Square”
Solving Quadratics. Methods for Solving Quadratics Graphing Factoring Square Root Method Completing the Square Quadratic Formula.
Factoring and Solving Polynomial Equations (Day 1)
Solving Quadratics: Factoring. What is a factor? Numbers you can multiply to get another number 2  3.
2.6 Solving Quadratic Equations with Complex Roots 11/9/2012.
For a quadratic function, how to find the coordinates of the vertex of its graph? 2. Functions and Graphs (a) For y = a(x - h) 2 +k, the vertex of the.
Lesson 10.5 Factoring Objective: To factor a quadratic trinomial of the form Factoring a trinomial is the opposite of multiplying two binomials. Example:
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.
10-3 Solving Quadratic Equations. Quadratic Function (y = ax 2 +bx+c) Quadratic Equation ( ax 2 +bx+c=0)
More about Quadratic Equations November 16, 2009.
The Quadratic Formula Students will be able to solve quadratic equations by using the quadratic formula.
Holt Algebra Solving Quadratic Equations by Graphing and Factoring A trinomial (an expression with 3 terms) in standard form (ax 2 +bx + c) can be.
REVIEW OF FACTORING Chapters 5.1 – 5.6. Factors Factors are numbers or variables that are multiplied in a multiplication problem. Factor an expression.
9.5 - The Quadratic Formula
5-4 Factoring Quadratic Expressions M11.A.1.2.1: Find the Greatest Common Factor and/or the Least Common Multiple for sets of monomials M11.D.2.1.5: Solve.
Quadratic Relations Solving Quadratic Equations Day 3: Solve by Factoring Tuesday, January 05, 20161Day 2 - Solve by Factoring.
Homework  WB p.3-4 #36-54 (evens or odds). Chapter 1 Review.
Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.
Solving Quadratic Equations by Factoring Lesson 5.2.
Unit 2 – Quadratic, Polynomial, and Radical Equations and Inequalities
5-7: COMPLEX NUMBERS Goal: Understand and use complex numbers.
Completing the Square SPI Solve quadratic equations and systems, and determine roots of a higher order polynomial.
A.5 Methods for Solving Equations Failures are finger posts on the road to achievement. -C. S. Lewis.
To study the derivation of the quadratic formula To learn to use the quadratic formula To use the discriminant to determine the nature of the roots of.
Sometimes, a quadratic equation cannot be factored Example: x 2 + 7x + 3 = 0 There is not a pair of numbers that multiply to give us 3, that will also.
Algebra 2 Ch.5 Notes Page 33 P Factoring Quadratic Expressions (Part 1)
ALGEBRA 2 – CHAPTER 5 QUADRATICS. 5-2 PROPERTIES OF PARABOLAS.
 A method for breaking up a quadratic equation in the form ax 2 + bx + c into factors (expressions which multiply to give you the original trinomial).
9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.
Martin-Gay, Developmental Mathematics 1 Warm-Up #28 (Thursday, 11/12)
Notes Over 10.7 Factoring Special Products Difference of Two Squares.
Bellwork 1)Write in standard form. 2) 3)A student is solving an equation by completing the square. Write the step in the solution that appears just before.
Lesson 6.5: The Quadratic Formula and the Discriminant, pg. 313 Goals: To solve quadratic equations by using the Quadratic Formula. To use the discriminant.
Factoring Day 1 I can factor a quadratic expression. x 2 + 3x + 2 Rewrite as (x + 1)(x + 2)
7.3 Solving Equations Using Quadratic Techniques
Bellwork 1) 2) 3) 4) 5) 27 plus some number is 6. What is the number?
Warm up.
Solving Quadratic Equations by the Complete the Square Method
Warm-Up.
5.5 Completing the Square.
5-4 Factoring Quadratic Expressions
Section 4.7 Complete the Square.
Factoring.
Use the Quadratic Formula and the Discriminant
Lesson 9.1 How do you add and subtract polynomials?
The Quadratic Formula.
Lesson 9.7 Factor Special Products
5.9 The Quadratic Formula 12/11/2013.
4.7 Complete the Square.
5.5 Completing the Square.
4.3 Solving Quadratic Equations by Factoring
Review: 6.5b Mini-Quiz 1. Solve: 9x2 – 100 = 0.
Factoring Special Cases
Objective Solve quadratic equations by factoring..
Completing the Square Algebra Review.
Warm Up #4 1. Write 15x2 + 6x = 14x2 – 12 in standard form. ANSWER
L5-7 Objective: Students will be able to solve quadratics by using the quadratic formula.
Topics are Topics are: Imaginary numbers (definition and simplify power of i) Complex numbers Graphing complex numbers. Add / Subtract / Multiply / Divide.
Presentation transcript:

Lesson 4.4 Solving ax 2 +bx+c=0 by factoring

Objective Factor to solve equations of the form ax 2 +bx+c=0

Standard 8.0 – Students solve and graph quadratic equations by factoring, completing the square, or using the quadratic formula. Students apply these techniques in solving word problems. They also solve quadratic equations in the complex number system – Students graph quadratic functions and determine the maxima

Academic Language monomial

Example

Process

Use the opposite of distribution method Multiply a and c Find factors of ac that add to b Rewrite equation using factors of ac in place of b Find greatest common factors Rewrite as multiplication of binomials

Back to the example

Practice

Special Case What do you notice?

Example

Greatest Common Factor First

Homework Punchline 13.7