WELCOME BACK WARM UP! Find The roots of the given quadratic: x2+7x+6=0 A.) {0,6} B.) {-6,0} C.) {-6,-1} D.) {1,6}

Slides:

Advertisements

Similar presentations

I can use the zero product property to solve quadratics by factoring

Advertisements

X and Y Intercepts.

P.6 Zeros of Functions.

Ch. 6.1: Solve Quadratic Equations by Graphing

Calculator Shortcut – Solving Trinomials

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.

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.

Warm Up Foil (3x+7)(x-1) Factors, Roots and Zeros.

Solving Quadratic Equations By Factoring Chapter 5 Section 2.

Roots, Zeroes, and Solutions For Quadratics Day 2.

Solving Quadratic Equations by Graphing. Essential Question Where are the solutions to quadratic equations located on the graph of the parabola?

4-5 Quadratic Equations Solve quadratic equations by graphing and factoring.

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.

Warm Up Identify the Roots and the Zeros of this quadratic.

Objective I CAN: use the zero product property to solve equations Designed by Skip Tyler, Varina High School.

Warm-Up 2.10 Solve the following. 8x x + 9 = 0 Answers: x = -1.5 or x =

Algebra-2 Lesson 4-3B (Solving Intercept Form). Quiz 4-1, What is the vertex of: 2. What is the vertex of:

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

Section 4.5: Zero Product Property. DO NOW Factoring  Today, we will learn why we factor and how this is such a useful tool.

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.

Solving Quadratics Review. We must solve to get x 2 by itself 1 st !

Solving Quadratic Equations by Graphing  Quadratic Equation- A quadratic function set equal to a value, in the form ax 2 +bx+c, where a≠0  Standard.

Warm Up Factor completely. 1. 2y3 + 4y2 – 30y 2y(y – 3)(y + 5)

5-3 Solving Quadratic Equations by Graphing and Factoring Warm Up

5.2 Solving Quadratic Equations by Factoring

Objectives Solve quadratic equations by factoring.

HW: Worksheet Aim: What are the higher degree function and equation?

HW: Worksheet Aim: What are the higher degree function and equation?

QUADRATIC EQUATIONS JOURNAL BY ANA JULIA ROGOZINSKI

6-3 Solving Quadratic Equations by Factoring

6.2 Solving Quadratic Equations by Graphing

Warm Up Factor completely. 1. 2y3 + 4y2 – 30y 2y(y – 3)(y + 5)

Using graphs to solve equations

Solving Quadratic Equations by Graphing

9.3 Solving Quadratic Equations

SECTION 9-3 : SOLVING QUADRATIC EQUATIONS

Solving Quadratic Equation by Graphing

Section 4.5: Solving Polynomial Equations

5.4 Factoring Quadratic Expressions

ALGEBRA REVIEW PROBLEMS

E) Quadratic Formula & Discriminant

Solving Quadratic Equations by Factoring

Solving Quadratics by Factoring

Polynomial Multiplicity

Solving Polynomial Equations

Objectives Solve quadratic equations by graphing or factoring.

Solving Quadratic Equations by Factoring

Finding Solutions by graphing

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

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

Warm Up Factor 3x2 - 17x + 10 A.) (3x-5) (3x-2) B.) (x–5) (x-2)

Quadratics Lesson 2 Objective: Vertex Form of a Quadratic.

Graphing Quadratic Equations

(a) long division (b)synthetic division

Solving Quadratic Equations by Factoring

Solving Quadratic Equations by Factoring

Warm Up #4 1. Write 15x2 + 6x = 14x2 – 12 in standard form. ANSWER

Warm Up Find the following: Vertex A.O.S. Y-intercept X-intercept.

LEARNING GOALS - LESSON 5.3 – DAY 1

Warm up Factor Completely 5x2 – 13x + 6 x2 – 9y2 3) y2 + 2y – 48

Solving Quadratic Equations by Factoring

Solving Special Cases.

Solve using factoring or square root property.

SOLVING QUADRATIC EQUATIONS BY GRAPHING

Warm-Up 2.10 Solve the following. 8x2 + 18x + 9 = 0

Solving Equations Containing Trinomials

Solving Equations by Factoring

4.3: Solving (Quadratic Equations) by Factoring

Presentation transcript:

WELCOME BACK WARM UP! Find The roots of the given quadratic: x2+7x+6=0 A.) {0,6} B.) {-6,0} C.) {-6,-1} D.) {1,6}

X-intercepts, Zeros, Roots, Solutions (No calculator)

What are X-intercepts, Zeros, Roots, Solutions? Where the graph (function) crosses the x-axis!

Solving for roots with a calculator Go to y= Type the equation into y1 Graph it 2nd, Trace Zero Left, Right, Guess

Solving for roots without a calculator Step 1: Set equation equal to zero Step 2: Factor equation Remember the diamond game, mustang method, special cases, and GCFs! Step 3: Set each factor equal to zero This gives you two separate equations Step 4: Solve each new equation

Warning I am going to move fast through this because you should know how to factor and solve equations at this point!!! If you don’t, you need to come to tutorials for help on those and use your calculator to solve for the solutions until then!

Example a2+7a+10 Set equation equal to zero Factor Set each factor equal to zero a+2=0 a+5=0 Solve each equation a= -2 a= -5

Example 2w2+5w-3 2w2+5w-3=0 w2+5w-6=0 (w+6)(w-1)=0

Special Note The only way anything can be multiplied and give us zero is if one of those things is zero. So that is why we set each factor equal to zero.