DO NOW: Take out your Review HW & begin the Do Now!!!

Slides:

Advertisements

Similar presentations

Chapter 5 Section 4: Complex Numbers. VOCABULARY Not all quadratics have real- number solutions. For instance, x 2 = -1 has no real-number solutions because.

Advertisements

Unit 4 Lesson 4: Solving Polynomial Equations State StandardsLesson Goals 3: Add, subtract, multiply and divide (including long division) polynomials.

1.5 Quadratic Equations Start p 145 graph and model for #131 & discuss.

4.10: Write Quadratic Functions and Models HW: p.312 – 313 (4, 12, 18, 22, 28, 34) Test : Wednesday.

4.3, 4.4: Solve quadratic equations by factoring

+ Completing the Square. + In your notes: Simplify the following: (5 – 3i)(4 + 2i) 3.

Simplify each polynomial Adding and Subtracting Polynomials.

FACTORING POLYNOMIALS Honors Advanced Algebra Presentation 2-5.

Warm - up 6.2 Factor: 1. 4x 2 – 24x4x(x – 6) 2. 2x x – 21(2x – 3)(x + 7) 3. 4x 2 – 36x + 81 (2x – 9) 2 Solve: 4. x x + 25 = 0X = -5.

Using the Quadratic Formula to Solve a Quadratic Equation

© 2007 by S - Squared, Inc. All Rights Reserved.

Notes Over 5.4 Imaginary Numbers.

5.6 Complex Numbers. Solve the following quadratic: x = 0 Is this quadratic factorable? What does its graph look like? But I thought that you could.

Do you remember… How do you simplify radicals? What happens when there is a negative under the square root? What is i? What is i 2 ? How do you add or.

Algeoc. OPPOSITES Opposite numbers make ZERO!!!!!!!

UNIT 1 Intro to Algebra II. NOTES Like Terms: terms in an algebraic expression or equation whose variable AND exponents are the same When we combine Like.

ALGEBRA POWERPOINT PROJECT Made By: Amber Davis Period 3.

WARM UP WHAT TO EXPECT FOR THE REST OF THE YEAR 4 May The Discriminant May 29 Chapter Review May 30 Review May 31 Chapter 9 Test June Adding.

9-1 Quadratic Equations and Functions 9-2 Characteristics of Quadratic Functions 9-3 Graphing Quadratic Functions 9-4 Solving Quadratic Equations by Graphing.

CA STANDARDS 20.0: Students use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations. Agenda 1.) Lesson.

Math is about to get imaginary!

Factoring Special Products In addition to level 3, students make connections to other content areas and/or contextual situations outside of math.

EXAMPLE 1 Find a common monomial factor Factor the polynomial completely. a. x 3 + 2x 2 – 15x Factor common monomial. = x(x + 5)(x – 3 ) Factor trinomial.

Factoring. Warm Up Multiply: Objective The student will be able to factor by distribution, grouping and factor trinomials.

To add fractions, you need a common denominator. Remember!

WARM UP WHAT TO EXPECT FOR THE REST OF THE YEAR 4 May The Discriminant May 29 Chapter Review May 30 Review May 31 Chapter 9 Test June Adding.

6-2 Polynomials and Linear Factors. Standard and Factored Form  Standard form means to write it as a simplified (multiplied out) polynomial starting.

11-2 Solving Quadratic Equations By Graphing

The author wants you to FOIL! STOP! TOO MUCH WORK! Alternative, less work! Combine both complex zeros with + sign. Isolate the i term. Square both sides.

Solving Linear Systems By Elimination. Solving Linear Systems There are three methods for solving a system of equations: By Graphing them and looking.

5.2 Polynomials, Linear Factors, and Zeros P

Solve by Factoring Zero Product Property.

  Different types of Quadratics:  GCF:  Trinomials:  Difference of Squares:  Perfect Square Trinomials: Factoring Quadratics.

Solving Quadratic Equaitons Section 3.1 beginning on page 94.

Unit 2 – Quadratic, Polynomial, and Radical Equations and Inequalities

Solving Quadratic Equations by Factoring In addition to level 3, students make connections to other content areas and/or contextual situations.

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.

Do Now Factor: Solve:. Unit 5: Polynomials Day 13: Solving Polynomials.

Warm-Up 2/26 1. J. Rigor: You will learn how to find the real and complex zeros of polynomial functions. Relevance: You will be able to use graphs and.

Section 8.7 More About Quadratic Function Graphs  Completing the Square  Finding Intercepts 8.71.

Honors Pre-Calculus Appendix A7 Complex Numbers. Objectives Add, Subtract, Multiply, and Divide Complex Numbers Graph Complex Numbers Solve Quadratic.

Chapter 4 Section 8 Complex Numbers Objective: I will be able to identify, graph, and perform operations with complex numbers I will be able to find complex.

I am able to solve a quadratic equation using complex numbers. I am able to add, subtract, multiply, and divide complex numbers. Solve the equation.

Quadratic Equations A-REI.4 Solve quadratic equations in one variable. Solve quadratic equations by inspection (e.g., for x 2 = 49), taking square roots,

Graphing Parabolas and Completing the Square. Warm-Up Solve each quadratic below (Hint: When you take the square-root you will get 2 answers; one positive.

10.3 Solving Quadratic Equations – Solving Quadratic Eq. Goals / “I can…”  Solve quadratic equations by graphing  Solve quadratic equations using.

2.4 Complex Numbers Standard form of a complex number a + bi Adding and Subtracting complex numbers (3 – i) + (2 + 3i) = 2i + (-4 – 2i) = 3 - (-2 + 3i)

Warm-Up 1. Find the -Vertex -Y-Intercept -X-intercepts 2. Graph 3. Factor.

3x²-15x+12=0 1.-Find the GCF 2.-then place two sets of parenthesis 3.-factor the front term 4.-then find two factors of the last term that add up to the.

Solving Quadratic Equations by Graphing Chapter 9.2.

Solving Higher Degree Polynomial Equations.

Bellwork 1) 2) 3) 4) 5) 27 plus some number is 6. What is the number?

10.3 Solving Linear Systems

8-6 Solving Polynomial equations in factored form

9.3 Solving Quadratic Equations

College Algebra 1.5 Complex Numbers

Warm Up Test Friday HW- Solving Quadratics Worksheet.

1. Use the quadratic formula to find all real zeros of the second-degree polynomial

Factor Special Products

Solving Quadratics Using Square Roots

Section 9.5 Day 1 Solving Quadratic Equations by using the Quadratic Formula Algebra 1.

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

Objective Solve quadratic equations by factoring..

Sign Rule: When the last term is NEGATIVE…

Bellwork: 2/13/18 Find each product.

Review Write the product of the sum and difference. (x + 3) (x – 3)

9.5 Factoring to Solve Quadratic Equations

Mathematical Analysis

1) Find f(g(x)) and g(f(x) to show that f(x) and g(x) are inverses

Alternative, less work! Combine both complex zeros with + sign.

Presentation transcript:

DO NOW: Take out your Review HW & begin the Do Now!!!

What happened to the plant in math class???

Day #13: Objectives SC discover the basic properties of a quadratic graph. SC find the x-intercepts of a quadratic function by factoring and sketch a basic graph of the function.

Can you identify the x-intercepts?

Notes

On the x-intercept, the value of “y” is zero. To find x-intercepts, plug zero in for “y” and solve for “x”.

Examples!!!

Exit Ticket!!! What are the x-intercepts of the following function?

Unit 1 QUICK Review!!!

What is on the test!?!?! Adding & Subtracting Polynomials Multiplying Polynomials Factoring (Regular, GCF, Perfect Squares) Composition of Functions Inverse Functions Linear Functions (isolating “y” and graphing) Complex Numbers (“i”) STUDY!!! The website has been updated!!!