Solving Quadratics by Factoring

Slides:

Advertisements

Similar presentations

Finding the Solutions, x-intercepts, Roots, or Zeros of A Quadratic

Advertisements

X and Y intercepts. X-intercept: The point where a line crosses the x-axis. The coordinates are ( x, 0) where x is any number on the x-axis Y-intercept:

4.3 – Solve x 2 + bx + c = 0 by Factoring A monomial is an expression that is either a number, a variable, or the product of a number and one or more variables.

What are you finding when you solve the quadratic formula? Where the graph crosses the x-axis Also known as: Zeros, Roots and X-intercepts.

Using the Zero-Product Property to Solve a Quadratic

13-1 Introduction to Quadratic Equations  CA Standards 14.0 and 21.0  Quadratic Equations in Standard Form.

6.5 – Solving Equations with Quadratic Techniques.

EXAMPLE 1 Write a quadratic function in vertex form Write a quadratic function for the parabola shown. SOLUTION Use vertex form because the vertex is given.

Solving Quadratic Equations

The Quadratic Formula. What does the Quadratic Formula Do ? The Quadratic formula allows you to find the roots of a quadratic equation (if they exist)

Factor: Factor: 1. s 2 r 2 – 4s 4 1. s 2 r 2 – 4s b b 3 c + 18b 2 c b b 3 c + 18b 2 c 2 3. xy + 3x – 2y xy + 3x – 2y -

Quadratics Solving equations Using “Completing the Square”

Factoring and Solving Polynomial Equations Chapter 6.4.

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

5.3 – Solving Quadratic Equations by Factoring. Ex. 1 Solve y = x 2 + 5x + 6 by factoring.

Solving Quadratic Equations Quadratic Equations: Think of other examples?

WARM UP Find the product. 1.) (m – 8)(m – 9) 2.) (z + 6)(z – 10) 3.) (y + 20)(y – 20)

Solving Quadratic Equations By Factoring Medina1.

Quadratic Equations: Factoring, Square Root Methods.

13.1 Introduction to Quadratic Equations

2.1 – Linear and Quadratic Equations Linear Equations.

Solving Quadratic Equations by Factoring Lesson 5.2.

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)

Warm Up 1.) What is the graph of the function y = -x 2 + 4x + 1?

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

Factoring Trinomials Diamond Box Method Factoring 5/17/20121Medina.

Write a quadratic function in vertex form

Warm up Factor the expression.

Discriminant and Quadratic

Solving Quadratic Equation by Graphing

The Quadratic Formula..

5.2: Solving Quadratic Equations by Factoring

Objectives Solve quadratic equations by factoring.

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

Solving Quadratic Equations

Standard Form I can identify intercepts from an equation.

5.5 a Writing Linear Equations in Standard Form

F-IF.B.4: Using Intercepts of Linear Equations

Tuesday You need: - Calculator - Whiteboard, marker, eraser.

Solving Quadratic Equation and Graphing

Factoring x2 + bx + c CA 11.0.

Solving a Quadratic Equation by Graphing

5.6 – The Quadratic Formula And Ch 5 Review

The Quadratic Formula.

Solving Quadratic Equations by Factoring

Sec. 1.4 Quadratic Equations.

1B.1- Solving Quadratics:

Warm-Up 5 minutes List all the factors of each number. 1) 10 2) 48

What is the x-intercept?

Solving Quadratic Equations

Objective Solve quadratic equations by graphing.

Quadratics Lesson 2 Objective: Vertex Form of a Quadratic.

Objective Solve quadratic equations by factoring..

Standard Form Quadratic Equation

Solving simultaneous linear and quadratic equations

Solving Quadratic Equations

Warm-Up 5 minutes Factor the following expressions: 2) x2 - 3x

Honors Algebra 2 Chapter 1a Review

Bellwork: 2/23/15 1. Graph y = x2 + 4x + 3.

Solve Quadratics by Graphing ax2 +bx + c

The Quadratic Formula..

The Quadratic Formula..

Solving Equations by Factoring

Skills Check Factoring (after the HW Check)

quadratic formula. If ax2 + bx + c = 0 then

Solving Quadratic Equations by Factoring

Factorise and solve the following:

Presentation transcript:

Solving Quadratics by Factoring CA 14.0, 23.0

Objective - To solve a quadratic equation by factoring

Zero Product Property If , then a = 0 or b = 0. Linear Equations Quadratic Equations Zero Product Property If , then a = 0 or b = 0.

Use the Zero Product Property to solve for x.

Use the Zero Product Property to solve for x.

Solving Quadratics by Factoring Step 1: Write the equation in STANDARD FORM! y = ax2 + bx + c Step 2: SET y = 0 !!!! REMEMBER you are SOLVING (which means you want the x-intercepts)! Step 3: Find the GCF. Step 4: Factor the quadratic by special pattern or by factor cross. Step 5: Use the ZERO PRODUCT PROPERTY.

Solve each equation by factoring:

Solve each equation by factoring:

Solve each equation by factoring:

Solve each equation below. 1) 2)

Solve each equation below. 3) 4)