A fun way to factor quadratics!.  You start by identifying the a, b and c values in your quadratic expression or equation.  Remember the form is ax.

Slides:

Advertisements

Similar presentations

Solving Quadratic Equations Using the Zero Product Property

Advertisements

Tic-Tac-Toe Factoring

Using the Zero-Product Property to Solve a Quadratic

Factoring Quadratic Expressions ax 2 + bx + c. 2x2x 3x3x +3 – 4 Setting the Stage Do you remember how to multiply these together? (Referred to as FOIL.

Factoring a Quadratic Expression

Solving Quadratic Equations. Review of Solving Quadratic Equations ax 2 +bx +c = 0 A quadratic equation is a 2nd degree equation whose graph is a parabola.

Solving Quadratic Equations by Factoring Algebra I.

Factoring Review.

Please close your laptops and turn off and put away your cell phones, and get out your note-taking materials. Today’s daily homework quiz will be given.

Factoring Polynomials

Factoring Quadratic Expressions

Chapters 9.3 and 9.4 Factoring Trinomials.

Quadratics Solve quadratic equations using multiple methods: factoring, graphing, quadratic formula, or square root principle.

Copyright © Cengage Learning. All rights reserved.

5.1 Factoring – the Greatest Common Factor

Factoring Polynomials

5.3.2 – Quadratic Equations, Finding Zeroes. Recall, we went over how to factor quadratics that are trinomials Example. Factor the expression x 2 + 7x.

Algebra B. Factoring an expression is the opposite of multiplying. a ( b + c ) ab + ac Multiplying Factoring Often: When we multiply an expression we.

Algebra 2: Module 4 Lesson 1

Factoring Review. Factoring The process of rewriting an equation or expression as the product of its factors Example: x 2 + 3x + 2 = (x + 2)(x + 1) Most.

Please close your laptops and turn off and put away your cell phones, and get out your note-taking materials.

6.6 Quadratic Equations. Multiplying Binomials A binomial has 2 terms Examples: x + 3, 3x – 5, x 2 + 2y 2, a – 10b To multiply binomials use the FOIL.

Zero – product property

Factoring Trinomials with ax 2 + bx + c 6x x Now you need to find the right combination of numbers in the correct order.

Section 5.3 Factoring Quadratic Expressions

5-5 Solving Quadratic Equations Objectives:  Solve quadratic equations.

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.

Example 1A Solve the equation. Check your answer. (x – 7)(x + 2) = 0

5.4 Factoring ax 2 + bx +c 12/10/2012. In the previous section we learned to factor x 2 + bx + c where a = 1. In this section, we’re going to factor ax.

5.3 Factoring Quadratic Function 12/7/2012. are the numbers you multiply together to get another number: 3 and 4 are factors of 12, because 3x4=12. 2.

7.6 Factoring: A General Review 7.7 Solving Quadratic Equations by Factoring.

Solving Quadratic Equations. Factor: x² - 4x - 21 x² -21 a*c = -21 b = -4 x + = -21 = x 3x3x x 3 (GCF) x-7 (x – 7)(x + 3)

Solving Quadratic Equations by Factoring. Zero-Product Property If ab=0, then either a=0, b=0 or both=0 States that if the product of two factors is zero.

Factoring Quadratic Trinomials

Warm Up Hint: GCF first.. Then SUM of CUBES Hint: Grouping Hint: Diff of squares.

Solving Quadratic Equations Using the Zero Product Property March 18, 2014.

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).

5.3 Factoring Quadratic Function 11/15/2013. Multiplying Binomials: FOIL First, Outside, Inside, Last Ex. (x + 3)(x + 5) ( x + 3)( x + 5) (x + 3)(x +

Factoring Trinomials By Grouping Method Factoring 5/17/20121Medina.

4.4 Factoring Quadratic Expressions Learning Target: I can find common binomial factors of quadratic expressions. Success Criteria: I can find the factors.

Factoring Day 1 I can factor a quadratic expression. x 2 + 3x + 2 Rewrite as (x + 1)(x + 2)

5.1 Factoring – the Greatest Common Factor

Copy each problem. Then factor.

Using the zero product property to solve equations

5.2: Solving Quadratic Equations by Factoring

Objectives Solve quadratic equations by factoring.

Objective The student will be able to:

Copyright 2013, 2010, 2007, 2005, Pearson, Education, Inc.

Christa Walters 9-5.

8-6 Solving Quadratic Equations using Factoring

a*(variable)2 + b*(variable) + c

Solving Quadratic Equations by Factoring March 16, 2015

ALGEBRA REVIEW PROBLEMS

a*(variable)2 + b*(variable) + c

1B.1- Solving Quadratics:

Solving Quadratics by Factoring

End Warm Up Answer each question to solve x2 – 9x + 18 = 0

a*(variable)2 + b*(variable) + c

Objectives Solve quadratic equations by graphing or factoring.

4.3 Solving Quadratic Equations by Factoring

Warm Up Find the x-intercept of each function. 1. f(x) = –3x + 9 3

The Square Root Property and Completing the Square

You can find the roots of some quadratic equations by factoring and applying the Zero Product Property. Functions have zeros or x-intercepts. Equations.

Standard Form Quadratic Equation

Solving Quadratic Equations by Factoring

Tic-Tac-Toe Factoring

Solving Equations by Factoring

Skills Check Factoring (after the HW Check)

Solving Quadratic Equations by Factoring March 11, 2016

Presentation transcript:

A fun way to factor quadratics!

 You start by identifying the a, b and c values in your quadratic expression or equation.  Remember the form is ax 2 +bx+c  You may want to write down the values next to your problem.

 The board looks like a regular tic-tac-toe board.  You will place numbers in specific spots to properly factor your problem

ab a·c

176 a=1 b=7 c = 6 a⋅c = 6 Fill in the boxes like this aba⋅c

 You have to find the factors of a⋅c that add up to b.  So, the factors of 6 are 1⋅6 and 2⋅3 where 1+6=7 and  Since b = 7, you would choose 1 and 6 and put them in the boxes under the 6 (it doesn’t matter which order).

Factors of 6 That add to 7

 You have to find the GCF (greatest common factor) of the numbers in these boxes And put it here

 All that’s left is to multiply and get your answer X = X = Multiply... X Follow the arrows and fill in the blanks

 Now all you have to do is group some numbers to form the binomials.  The variables go with the numbers in the left column. Rewrite the circled numbers in binomial form like this… (x+6)(x+1)*  *You don’t usually see the 1 in front of the variable so you don’t have to put it there

 with the factoring part anyway.  If you want to make sure your answer is correct multiply the two binomials to check, you should get your original trinomial. (x+ 6)(x+ 1) = x 2 + 7x + 6

 You may have to take this one step further and find the zeros of your quadratic equations, but you won’t have to do that unless the directions tell you to solve or find the solutions.  If you do need to solve…(next slide, please)

 Use the zero product property and set each binomial equal to zero and solve for the variable.  x+1=0x+6= x =-1 x=-6  The solutions are -1 and -6 (where the parabola intercepts the x-axis)