5-7 Solving Equations by Factoring M11.D.2 2.5.11.C

Oct 22, 2014

40 likes | 161 Views

5-7 Solving Equations by Factoring M11.D.2 2.5.11.C. Objectives: To solve equations by factoring and using the zero product property. PDN: Factor. x ² -5x + 6 2x² - 4x. Examples: Factor & Solve. x ² -5x + 6 = 0 4x² - 9 = 0. Examples: Factor Solve. 3x ² - 36x + 105 = 0

Share Presentation

Embed Code

Link

factoring
5x 6
solve equations
6x 9
4x 9 0
3x 36x 105 0

liz

Download Presentation

5-7 Solving Equations by Factoring M11.D.2 2.5.11.C

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

5-7 Solving Equations by FactoringM11.D.2 2.5.11.C Objectives: To solve equations by factoring and using the zero product property. PDN: Factor. x² -5x + 6 2x² - 4x
Examples: Factor & Solve • x² -5x + 6 = 0 • 4x² - 9 = 0
Examples: Factor Solve • 3x² - 36x + 105 = 0 • x² - 6x = -9
Try This Pg. 232 a,c,d,e

Solving Equations by Factoring

394 views • 23 slides

Solving Quadratic Equations by Factoring

Solving Quadratic Equations by Factoring. 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 use the Zero Product Principle If A  B = 0 then A = 0 or B = 0

814 views • 6 slides

Solving Equations by Factoring

Solving Equations by Factoring. Solving Equations.

269 views • 12 slides

6.3 Solving Quadratic Equations by Factoring

6.3 Solving Quadratic Equations by Factoring. 1. Terminology. 2. Zero Factor Theorem. 3. Methods for Solving. Terms. Zero Factor Theorem. If p and q are algebraic expressions, then pq =0 if and only if p=0 or q=0 Example: (x+2)(2X-4)=0; x+2=0 and/or 2x-4=0 Steps

319 views • 9 slides

Solving Quadratic Equations by Factoring

Solving Quadratic Equations by Factoring. Chapter 10 Lesson 10-5. Introduction.

2.6k views • 74 slides

1.3 Solving Quadratic Equations by Factoring

1.3 Solving Quadratic Equations by Factoring. (p. 18) How can factoring be used to solve quadratic equation when a=1?. Vocabulary Reminder. Monomial Binomial Trinomial. An expression that is either a number, a variable, or the product of a number and one or more variables. (4, x, 5y).

444 views • 19 slides

Solving Quadratic Equations by Factoring

Solving Quadratic Equations by Factoring. Zero Product Property. For any real numbers a and b , if ab =0, then either a =0, b =0, or both. In this first example, the equation is already factored and is set equal to zero. To solve, simply set the individual factors equal to zero.

299 views • 14 slides

5.5 Solving Quadratic Equations by Factoring

5.5 Solving Quadratic Equations by Factoring. The form ax 2 + bx + c = 0 is the standard form of a quadratic equation. For example, and are all quadratic equations, but only x 2 + 5 x +6 = 0 is in standard form. Solving Quadratic Equations by Factoring. Quadratic Equation

1.16k views • 15 slides

Solving Quadratic Equations by Factoring

Solving Quadratic Equations by Factoring. X- Box. Product a∙c. factors. factors. Sum b. X-box Factoring. This is a guaranteed method for factoring quadratic equations—no guessing necessary! We will learn how to factor quadratic equations using the x-box method

1.53k views • 9 slides

5.8 Polynomial Equations - Solving Equations by Factoring

5.8 Polynomial Equations - Solving Equations by Factoring. Solutions to Equations in One Variable: Where the curve crosses the x-Axis (if it does!) Solving Quadratic Equations ax 2 + bx + c = 0 Zero factor property Solving Higher Degree Equations Problem Solving

500 views • 13 slides

9.8 Solving Equations by Factoring

9.8 Solving Equations by Factoring. Objectives: Find the zeros of a function. Solve equations by factoring. Standard Addressed: 2.8.11.N. Solve quadratic equations. Ex. 2 Find the zeros of the polynomial function y = . (x + 9) (x + 2) x + 9 = 0 x = -9 x + 2 = 0 x = -2. Ex. 3a .

317 views • 10 slides

11.6 – Solving Quadratic Equations by Factoring

11.6 – Solving Quadratic Equations by Factoring. A quadratic equation is written in the Standard Form ,. where a , b , and c are real numbers and . Examples:. (standard form). 11.6 – Solving Quadratic Equations by Factoring. Zero Factor Property:.

985 views • 16 slides

Solving Polynomial Equations by Factoring

Solving Polynomial Equations by Factoring. Quick Review. FACTORING a polynomial means to break it apart into its prime factors. For example: x 2 – 4 = ( x + 2)( x – 2) x 2 + 6 x + 5 = ( x + 1)( x + 5) 3 y 2 + 10 y – 8 = (3 y – 2)( y + 4).

501 views • 18 slides

5.2: Solving Quadratic Equations by Factoring

5.2: Solving Quadratic Equations by Factoring. (p. 256). To solve a quadratic eqn. by factoring, you must remember your factoring patterns !. Zero Product Property. Let A and B be real numbers or algebraic expressions. If AB=0, then A=0 or B=0.

326 views • 9 slides

5-4 Factoring M11.D.2 2.1.11.A

5-4 Factoring M11.D.2 2.1.11.A. Objectives: To factor polynomials with a common factor. To identify and factor trinomial squares. To factor the difference of squares. PDN: FOIL (x + 2)(x + 3) (2x – 1)(2x + 1). Vocab.

269 views • 11 slides

2-3: Solving Quadratic Equations by Factoring

2-3: Solving Quadratic Equations by Factoring. Unit 2 English Casbarro. Warm-up Problems. Your friend attempted to factor an expression as shown to the right. Find the error in your friend’s work. Then factor the expression correctly.

383 views • 14 slides

6.3 Solving Quadratic Equations by Factoring

6.3 Solving Quadratic Equations by Factoring. Write a quadratic equation with given roots. Roots or Zeros of the Quadratic Equation. The Roots or Zeros of the Quadratic Equation are the points where the graph hits the x axis.

431 views • 18 slides

F-2 Solving Equations by Factoring

F-2 Solving Equations by Factoring. N#_____ _____/_____/_____. E1 Solve 8b 2 – 40b = 0. E2 Solve x 2 = –10x. E3 Solve x 2 + 2x – 15 = 0. E4 Solve 3x 2 + 2x – 16 = 0. E5 Solve. E6 Solve. Ex 7 Solve. 18x 3 – 8x = 0. Ex 8 Solve. 4x 2 + 36x + 81=0.

207 views • 11 slides

Solving Quadratic Equations By Factoring

Solving Quadratic Equations By Factoring. Chapter 5 Section 2. Factoring. 1. 2. 3. Factoring. 4. 5. Factoring. 6. 7. Solving Quadratic Equations Using Factoring. Steps: Factor the Equation Set equations equal to 0 Solve for x. Example. Example. 2.). CLASSWORK.

415 views • 8 slides

5.2: Solving Quadratic Equations by Factoring

5.2: Solving Quadratic Equations by Factoring. (p. 256) How do you factor: x 2 +bx +c ax 2 +bx+c a 2 −b 2 a 2 +2ab +b 2 a 2 −2ab +b 2 How do you solve a quadratic function?. Everything you ever learned about factoring in one section!.

291 views • 11 slides

Solving Equations by Factoring

Solving Equations by Factoring. Standard Form Quadratic Equation. Quadratic equations can be written in the form ax 2 + bx + c = 0 where a , b , and c are real numbers with a  0. Standard form for a quadratic equation is in descending order equal to zero. BACK.

373 views • 14 slides

Solving Equations by factoring

Solving Equations by factoring. Algebra I Mrs. Stoltzfus. Consider this…. If 4a = 0, what do you know?. We know that a = 0, because of the multiplication property of 0. Consider this…. What if ab = 0? What do you know?. This tells us that a = 0 or b = 0!.

340 views • 15 slides

More Related