Zeros to Quadratic Functions

Slides:



Advertisements
Similar presentations
Finding a Quadratic Equation from Complex Roots. Write an equation from the Roots Find the equation of a quadratic function that has the following numbers.
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
13-1 Introduction to Quadratic Equations  CA Standards 14.0 and 21.0  Quadratic Equations in Standard Form.
9.4 – Solving Quadratic Equations By Completing The Square
Quadratic Function By: Robert H. Phillip C.. Definition Of Quadratic Function A quadratic function, in mathematics, is a polynomial function of the form.
5.6 Quadratic Equations and Complex Numbers
9.4 factoring to solve quadratic equations.. What are the roots of a quadratic function? Roots (x-intercepts): x values when y = 0 ( ___, 0) How do you.
Solving Quadratic Equations
Solving Quadratic Equations by Factoring. Solution by factoring Example 1 Find the roots of each quadratic by factoring. factoring a) x² − 3x + 2 b) x².
DO NOW: FACTOR EACH EXPRESSION COMPLETELY 1) 1) 2) 3)
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)
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.
Solving Quadratic Equations – Part 1 Methods for solving quadratic equations : 1. Taking the square root of both sides ( simple equations ) 2. Factoring.
Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.
Learning Task/Big Idea: Students will learn how to find roots(x-intercepts) of a quadratic function and use the roots to graph the parabola.
1) What does x have to be for 3x = 0? 1) What does x have to be for 3(x -2) = 0 2) What does x have to be for (x–2) (x+3) = 0.
Example: 3x 2 + 9x + 6. Solving Quadratic Equations.
6-2 Solving Quadratic Equations by Graphing
Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing.
Roots, Zeroes, and Solutions For Quadratics Day 2.
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.
Pre-Calculus Lesson 5: Solving Quadratic Equations Factoring, quadratic formula, and discriminant.
The Quadratic Formula Students will be able to solve quadratic equations by using the quadratic formula.
Theorems About Roots of Polynomial Equations. Find all zeros: f(x)= x +x –x Synthetic Division one zero…need 2 more use (x – k), where.
11-2 Solving Quadratic Equations By Graphing
Warm-Up: Solve each equation. Essential Question  How do I use the quadratic formula?
Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.
7.6 Rational Zero Theorem Depressed equation. All the possible rational Zeros To find all the possible rational zero, take all the factors of the last.
2.1 – Linear and Quadratic Equations Linear Equations.
6-2 Solving Quadratic Equations by Graphing Objectives: Students will be able to 1)Solve quadratic equations by graphing 2)Estimate solutions of quadratic.
Quadratic Formula. Solve x 2 + 3x – 4 = 0 This quadratic happens to factor: x 2 + 3x – 4 = (x + 4)(x – 1) = 0 This quadratic happens to factor: x 2.
Warm Up 1.) What is the graph of the function y = -x 2 + 4x + 1?
Warm – Up # 9 Factor the following: 1.3x 2 – 2x – 5 2.4x x + 25.
Solving Quadratic Equations. Find the quadratic equation if the solutions are 3 and -2. x = 3 x = -2 Make them equal zero. x – 3 = 0x + 2 = 0 (x – 3)(x.
Factoring & Solving Quadratics Equations Intermediate Algebra Final Exam Review.
Algebra Completing the Square. Solving with Square Roots.
The Quadratic Formula..
Quadratic Formula Solving for X Solving for quadratic equations.
Solving Quadratic Equations by the Complete the Square Method
Find the number of real solutions for x2 +8x
6-3 Solving Quadratic Equations by Factoring
Solving quadratic equations
6.2 Solving Quadratic Equations by Graphing
Solving Using Quadratic Equations
A quadratic equation is written in the Standard Form,
Solving Quadratic Equations by Graphing
9.3 Solving Quadratic Equations
SECTION 9-3 : SOLVING QUADRATIC EQUATIONS
Unit 7 Day 4 the Quadratic Formula.
Ch. 9 Vocabulary 8.) quadratic equation
9.4 Solving Quadratic Equations
Section 4.3 Solve.
What are the equations of the following lines?
1B.1- Solving Quadratics:
Equation Review Given in class 10/4/13.
Solving Quadratic Equations by Factoring
The Quadratic Formula L.O.
Quadratic Equations.
3.4 – The Quadratic Formula
Equation Review.
9-5 Factoring to Solve Quadratic Equations
  Warm Up:.
The Quadratic Formula..
Using the Discriminant and writing quadratic equations
Solving Quadratic Equations by Finding Square Roots
The Quadratic Formula..
quadratic formula. If ax2 + bx + c = 0 then
Presentation transcript:

Zeros to Quadratic Functions Re-write factors as a Quadratic Function Zeros to Quadratic Functions

Write the following factors as a Quadratic Function Example 1

Write the following factors as a Quadratic Function Example 2

Write a Quadratic Equation for the following zeros Example 3

Write a Quadratic Equation for the following zeros Example 4

Write a Quadratic Equation for the following zeros Example 5

Write a Quadratic Equation for the following zeros Example 6

Write a Quadratic Equation with the roots Example 7

Write a Quadratic Equation with the roots Example 8

Write a Quadratic Equation with the roots Example 8

Write a Quadratic Equation with the roots and Example 9

Write a Quadratic Equation with the roots Example 10

Write a Quadratic Equation with the roots Example 11