3.2 Chapter 3 Quadratic Equations. To solve quadratic equations by factoring, apply the which states that, if the product of two real numbers is zero,

Slides:



Advertisements
Similar presentations
TWO STEP EQUATIONS 1. SOLVE FOR X 2. DO THE ADDITION STEP FIRST
Advertisements

Square Root Chapter 9.
Warm-up Solve each equation. 1. k2 = b2 = m2 – 196 = c = 36
(touches x-axis twice) (does not touch x-axis)
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Objective: To solve quadratic equations by completing the square.
Copyright © 2011, Elsevier Inc. All rights reserved. Chapter 4 Author: Julia Richards and R. Scott Hawley.
1 Copyright © 2010, Elsevier Inc. All rights Reserved Fig 2.1 Chapter 2.
1 Chapter 40 - Physiology and Pathophysiology of Diuretic Action Copyright © 2013 Elsevier Inc. All rights reserved.
By D. Fisher Geometric Transformations. Reflection, Rotation, or Translation 1.
Jeopardy Q 1 Q 6 Q 11 Q 16 Q 21 Q 2 Q 7 Q 12 Q 17 Q 22 Q 3 Q 8 Q 13
Jeopardy Q 1 Q 6 Q 11 Q 16 Q 21 Q 2 Q 7 Q 12 Q 17 Q 22 Q 3 Q 8 Q 13
Jeopardy Q 1 Q 6 Q 11 Q 16 Q 21 Q 2 Q 7 Q 12 Q 17 Q 22 Q 3 Q 8 Q 13
0 - 0.
ALGEBRAIC EXPRESSIONS
DIVIDING INTEGERS 1. IF THE SIGNS ARE THE SAME THE ANSWER IS POSITIVE 2. IF THE SIGNS ARE DIFFERENT THE ANSWER IS NEGATIVE.
MULTIPLYING MONOMIALS TIMES POLYNOMIALS (DISTRIBUTIVE PROPERTY)
ADDING INTEGERS 1. POS. + POS. = POS. 2. NEG. + NEG. = NEG. 3. POS. + NEG. OR NEG. + POS. SUBTRACT TAKE SIGN OF BIGGER ABSOLUTE VALUE.
MULTIPLICATION EQUATIONS 1. SOLVE FOR X 3. WHAT EVER YOU DO TO ONE SIDE YOU HAVE TO DO TO THE OTHER 2. DIVIDE BY THE NUMBER IN FRONT OF THE VARIABLE.
SUBTRACTING INTEGERS 1. CHANGE THE SUBTRACTION SIGN TO ADDITION
MULT. INTEGERS 1. IF THE SIGNS ARE THE SAME THE ANSWER IS POSITIVE 2. IF THE SIGNS ARE DIFFERENT THE ANSWER IS NEGATIVE.
Addition Facts
# 1 Solve. # 2 Solve. # 3 Solve..
Real Zeros of Polynomial Functions Real Zeros of Polynomial Functions
Finding Complex Roots of Quadratics
Complex Numbers Objectives:
Complex Numbers Properties & Powers of i
© S Haughton more than 3?
Quadratic Inequalities
Twenty Questions Subject: Twenty Questions
Squares and Square Root WALK. Solve each problem REVIEW:
Past Tense Probe. Past Tense Probe Past Tense Probe – Practice 1.
Do Now 4/15/10 Take out HW from yesterday. Copy HW in your planner.
10-6 Solving Quadratic Equations by Factoring
Properties of Exponents
 .
4.5 Solve Quadratic Equations by Finding Square Roots
Addition 1’s to 20.
25 seconds left…...
Test B, 100 Subtraction Facts
9-8 Completing the Square Warm Up Lesson Presentation Lesson Quiz
Doubles Facts Doubles with Pictures Doubles without Pictures Pictures Only.
Week 1.
EOC Practice #19 SPI
We will resume in: 25 Minutes.
2.4 – Solving Equations with the Variable on Each Side.
1 Unit 1 Kinematics Chapter 1 Day
Solve an equation by multiplying by a reciprocal
Copyright © Cengage Learning. All rights reserved.
The Fundamental Theorem of Algebra The Fundamental Theorem of Algebra
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 =
Solving Quadratic Equations
Goals: To solve quadratic equations by using the Quadratic Formula.
Solving Quadratic Equations
Using square roots to solve quadratic equations. 2x² = 8 22 x² = 4 The opposite of squaring a number is taking its square root √ 4= ± 2.
Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.
Algebra 1 Ch.10 Notes Page 81 P Factoring to Solve Quadratic Equations.
The Quadratic Formula & Discriminant Essential question – How do you solve a quadratic equation using the Quadratic Formula?
Quadratic Formula You can use this formula to find the solutions(roots) to a quadratic equation. This formula can be broken up into 2 parts: b 2 – 4ac.
ALGEBRA 1 SECTION 10.4 Use Square Roots to Solve Quadratic Equations Big Idea: Solve quadratic equations Essential Question: How do you solve a quadratic.
2.1 – Linear and Quadratic Equations Linear Equations.
Notes Over 5.6 Quadratic Formula
Solving Quadratic Equations by the Complete the Square Method
A quadratic equation is written in the Standard Form,
Solving Quadratic Equations by Graphing
Zeros to Quadratic Functions
Solving Quadratic Equations by Factoring
Review: Simplify.
9.2 Solving Quadratic Equations using square roots
  Warm Up:.
Presentation transcript:

3.2 Chapter 3 Quadratic Equations

To solve quadratic equations by factoring, apply the which states that, if the product of two real numbers is zero, then one or both of the numbers must be zero. Thus, if, then x x + 16 = 0. Solve the following: x 2 + 8x = 0. Solving Quadratic Equations 3x x - 14 = 0

Solve the following by factoring: a) 3x x = 81b)3x = x(x + 13)

Pages (4 – 8)bd, 10ac, 12, 13, 14, 18

Writing a Quadratic Equation With Given Roots a) x = -6, 3 Find the equation, given the following roots: b)