Daily Checks From Yesterday!

Slides:

Advertisements

Similar presentations

Lesson 3.4 – Zeros of Polynomial Functions Rational Zero Theorem

Advertisements

Creating Polynomials Given the Zeros.. What do we already know about polynomial functions? They are either ODD functions They are either EVEN functions.

SQUARE ROOT METHOD. Simplify Radicals A. Single Ex.

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.

Polynomial Functions. Fundamental Theorem of Algebra: a polynomial with degree n, will have exactly n roots (some may be real, some may be imaginary)

Solving Equations. A quadratic equation is an equation equivalent to one of the form Where a, b, and c are real numbers and a  0 To solve a quadratic.

Unit 3 Review for Common Assessment

1 Using the Fundamental Theorem of Algebra.  Talk about #56 & #58 from homework!!!  56 = has -1 as an answer twice  58 = when you go to solve x 2 +

Lesson 3.4 – Zeros of Polynomial Functions Rational Zero Theorem

Ch 2.5: The Fundamental Theorem of Algebra

How to Multiply: Distributive x 62 x 60 x = 2790 Step 1: Multiply 45 by the expanded form of 62 (60+2). Step 2: Add together.

COMPLEX ZEROS: FUNDAMENTAL THEOREM OF ALGEBRA Why do we have to know imaginary numbers?

Solve Notice that if you take ½ of the middle number and square it, you get the last number. 6 divided by 2 is 3, and 3 2 is 9. When this happens you.

REVIEW OF UNIT 4.

Solving Quadratic (and polynomial) Equations by Factoring.

5.8-Graphs of Polynomials 1. Plot x-intercepts (solutions: opposites of factors) 2. Decide if graph touches or goes through at each zero 3. Determine LEFT.

3.6 Complex Zereos. The Fundamental Theorem of Algebra The Fundamental Theorem of Algebra says that every polynomial with complex coefficients must have.

THE LINEAR FACTORIZATION THEOREM. What is the Linear Factorization Theorem? If where n > 1 and a n ≠ 0 then Where c 1, c 2, … c n are complex numbers.

6-5 & 6-6 Finding All Roots of Polynomial Equations Warm Up: Factor each expression completely. 1. 2y 3 + 4y 2 – x 4 – 6x 2 – : Use factoring.

Warm - up Simplify Essential Questions: (1). How do I multiply radical expressions:

Warm Up: 1) Solve: 3x 4 – 2x 3 – 37x x + 12 = 0 2) Graph: x 3 + x 2 – 6x = g(x)

Determine the number and type of roots for a polynomial equation

9/15/15 Algebra Polynomials Polynomial—is a monomial or sum of monomials. Degree of a polynomial is determined by the monomial with the highest.

WARM - UP 1.Given the following information sketch a graph of the polynomial: 2.Find all of the roots of the following polynomial:

14.0 Math Review 14.1 Using a Calculator Calculator

COMPLEX NUMBERS Unit 4Radicals. Complex/imaginary numbers WHAT IS? WHY? There is no real number whose square is -25 so we have to use an imaginary number.

Lesson 5-6 Complex Numbers. Recall Remember when we simplified square roots like: √128 = √64 ● √2 = 8√2 ? Remember that you couldn’t take the square root.

Section 4.3 Mixed & Entire Radicals.

Unit 1: Radical Expressions

Activity based around:

Objectives Define and use imaginary and complex numbers.

DAILY CHECK Complex roots.

Multiplying 2 Digit Factors

Roots and Zeros 5.7.

When solving #30 and #34 on page 156, you must “complete the square.”

Daily Check!!!.

Daily Check!!! (Irrational Roots)

Section 4.3 Mixed & Entire Radicals.

25 Math Review Part 1 Using a Calculator

Chapter 8 Continued – Radical Expressions and Equations

Lesson 5-6 Complex Numbers.

Do Now: If you have progress reports, put them in my basket

5 solutions/zeros Number of Solutions is... … degree of Polynomial

Section 4.3 Mixed & Entire Radicals.

Simplifying Radicals.

Mod. 3 Day 4 Graphs of Functions.

Rational Root Theorem Math 3 MM3A1.

Lesson 2.5 The Fundamental Theorem of Algebra

Finding Zeros of Polynomials

Daily Check!!!.

Creating Polynomials Given the Zeros.

Skills Check ALL Factoring

Questions over HW?.

Warm up – Solve by Completing the Square

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

Warm Up – Look over your notes/examples from last week Any questions??

Lesson: _____ Section 2.5 The Fundamental Theorem of Algebra

10/19 Staple pages 244,245,249,250,255 together. Put your name on it.

5-Minute Check Lesson 4-1.

Skills Check Solve by Factoring and Square Roots

Homework Check.

Homework Check.

Simplify Radicals.

Section 9.7 “Factor Special Products”

Objective Solve radical equations.. Objective Solve radical equations.

ALGEBRA I - SECTION 10-2 (Simplifying Radicals)

Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.

Warm Ups: Give the degree, standard form, and leading coefficient (if possible): 1) 3x3 – 5x4 – 10x + 1 2) 9x – 8 + x2 Factor completely: 3) 4x2.

4. If y varies inversely as x and y=3 when x=4, find y when x=15.

Presentation transcript:

Daily Checks From Yesterday!

Writing Polynomials Given the Roots Review DC Notes Practice

Steps: Write each zero has a factor x=#, and move the # to the other side put in ( ) Multiply each factor together [distribute] Check that the degree matches the number of zeros you had to begin with! ***Remember: and i come in pairs!!!***

Find the polynomial with the given roots:

Find the polynomial with the given roots: ***You always want to multiply the radicals or imaginaries together FIRST!

Find the polynomial with the given roots: ***You always want to multiply the radicals or imaginaries together FIRST!

Find the polynomial with the given roots: ***Square Roots ALWAYS come in pairs!

Find the polynomial with the given roots:

Go over finding Max and Min in the Calculator!