9/24 Warm Up 1) If (-5,-3) is a point on an odd function, name another point on the function. What if f was an even function? 2) For the following function:

Slides:



Advertisements
Similar presentations
COMBINED PROBLEMS The Remainder / Factor Theorems along with Synthetic Division help factor higher order polynomials quickly.
Advertisements

Warm up Use synthetic division to divide (4x3 – 3x2 + 2x + 1)/ (x – 1) (x3 – x2 – 6)/(x + 2)
Problem of the Day. Division and Rational Root Theorem TS: Making decisions after reflection and review Obj: Review polynomial division and how to find.
5.5: Polynomial Long Division and Synthetic Division
6.3 Dividing Polynomials. Warm Up Without a calculator, divide the following Solution:
Section 5.5 – The Real Zeros of a Rational Function
5.5 Apply the Remainder and Factor Theorem
Bell Problem Find the real number solutions of the equation: 18x 3 = 50x.
2.3 Synthetic Substitution
HW: Pg #13-61 eoo.
2.3 Synthetic Substitution OBJ:  To evaluate a polynomial for given values of its variables using synthetic substitution.
The Rational Root Theorem.  Is a useful way to find your initial guess when you are trying to find the zeroes (roots) of the polynomial.  THIS IS JUST.
2.3 Real Zeros of Polynomial Functions 2015 Digital Lesson.
Lesson 3.4 – Zeros of Polynomial Functions Rational Zero Theorem
TODAY IN CALCULUS…  Warm Up: Review simplifying radicals  Learning Targets :  You will use special products and factorization techniques to factor polynomials.
1 What we will learn today…  How to divide polynomials and relate the result to the remainder and factor theorems  How to use polynomial division.
Dividing Polynomials & The Remainder Theorem. Dividing Polynomials When dividing a polynomial by a monomial, divide each term in the polynomial by the.
Dividing Polynomials.
7.4 The Remainder and Factor Theorems Use Synthetic Substitution to find Remainders.
1 Use the Remainder Theorem and the Factor Theorem. 2.3 Day 2 What You Should Learn.
6.5 The Remainder and Factor Theorems
Chapter 6-3 Dividing Polynomials (std Alg 2 3.0) Objectives: To understand long division of polynomials To understand synthetic division of polynomials.
quotient is x + 6 and remainder is quotient is x.
Warm Up no 0, 3 x = -3. Homework Questions Section 2.2 Synthetic Division; The Remainder and Factor Theorems Objective: To use synthetic division and.
Dividing Polynomials SYNTHETIC DIVISION AND LONG DIVISION METHODS.
2.5 Apply the Remainder and Factor Theorem Long Division and Synthetic Division Pg. 85.
WARM UP. Homework Q’s Dividing Polynomials using Synthetic Division EQ: How is Long Division utilized to divide a polynomial functions? Assessment:
a. b.  To simplify this process, we can use a process called division.  Synthetic division works when dividing a polynomial by.  To get started, make.
2.3 Real Zeros of Polynomial Functions 2014/15 Digital Lesson.
Polynomial and Synthetic Division Objective: To solve polynomial equations by long division and synthetic division.
Warm – up #2 Find the remainder when P(x) is divided by x – c.
Homework Log Mon 12/14 Lesson 5 – 1 Learning Objective: To divide polynomials using long division & synthetic division Hw: #501 Pg – 33 odd, skip.
Review 2-1 and 2-2. Quiz Overview (non-calculator) 2-1a) graph power functions (4 points, 8 matching) b) solve radical equations (4 points, 2 equations)
Warm-Up: November 16, Homework Questions? Zeros of Polynomial Functions Section 2.5.
Warm – up #1 x = –2 – 2. Homework Log Tues 12/15 Lesson 5 – 1 Learning Objective: To use synthetic division with complex numbers Hw: #502 Pg. 277 # 3,
Grudgeball! Unit 4 (Part 2) Test Review. Factor completely:
3.2 Division of Polynomials. Remember this? Synthetic Division 1. The divisor must be a binomial. 2. The divisor must be linear (degree = 1) 3. The.
Please Check your HW- Period 7
Warm-ups Week 8 10/8/12 Find the zeros of f(x) = x3 + 2x2 – 13x + 10 algebraically (without a graphing calculator). What if I told.
Warm Up Compute the following by using long division.
Chapter Polynomials of Higher Degree
3x + 2 6x3 - 5x2 – 12x – 4 2x2 – 3x – 2 6x3 + 4x2 -9x2 – 12x -9x2 – 6x
Section 3.2 Dividing Polynomials (std Alg 2 3.0)
#2.5 Long Division.
Warm Up      .
7.4 The Remainder and Factor Theorems
Warm-Up:.
1a. Divide using long division. (9x3 – 48x2 + 13x + 3) ÷ (x – 5)
6.3 Dividing Polynomials.
5.2 The Factor Theorem & Intermediate Value Theorem
2.1 Day 2 Homework Answers D: −2,∞
Packet #8 Dividing Polynomials
Do Now Graph the following using a calculator: A) B)
Dividing Polynomials.
Apply the Remainder and Factor Theorems
Real Zeros of Polynomial Functions
Warm-up: Divide using Long Division
Warm-up: Sketch the graph of f(x) = x5 – 4x4 + 4x3. Be sure to include all critical values. HW: Quiz Review 2.1/2.2.
Remainder and Factor Theorem
Today in Precalculus Go over homework Notes: Remainder
Polynomial Long Division
WARM – UP 1. Find all of the real roots of the function:
You can use synthetic division to evaluate polynomials
“You wasted $150,000 on an education you coulda got for $1
Warm UP: Factor Completely: 1)16n3 + 32n2 – n – 2 2) y4 – 3y2 – 28
Mathematical Analysis
Warm Up.
Divide using long division
Warm-Up:.
Warm Up Honors Algebra 2 11/3/17
Presentation transcript:

9/24 Warm Up 1) If (-5,-3) is a point on an odd function, name another point on the function. What if f was an even function? 2) For the following function: a) Sketch it without the use of the calculator b) Describe the Transformation c) Is the function even, odd, or neither? d) What are the Domain and Range? e) For what values is the function Increasing? Decreasing? 3) Divide:

Agenda Warm Up Test 1C – done by the end of this week! H.W. Questions Objective 3.2 Notes: Polynomials Functions of Higher Degree and Division Partner Activity How do black holes happen? (Chopping Polynomials)

Objective 3.2: Polynomial Functions of Higher Degree and Division Notes 9/24

A. Finding the Zeros of a Polynomial Function by factoring Ex 1] Find all Real Zeros of:

B. Dividing Polynomials 1) Review: Basic Long Division We write the answer as: We check the answer by making sure that:

2) Polynomial Division Ex 1] ( ) ( )

Ex 2]

Try On Your Own: 1) 2)

C. Synthetic Division Ex 1] Now, divide with Synthetic Division: ( ) ( )

Ex 3]

Try On Your Own: Divide Using Synthetic Division: 1) 2)

Ex 1.] Use synthetic division to find the function value: f(3) Ex 2.] Use synthetic division to find the function value f(-5) D. The Remainder Theorem

Staple your work together with names on top and hand into the H.W. bin. 1) 2) Ticket Out the Door: Partner Activity Problem #1 Partner A  Long Division Partner B  Synthetic Division Check that your answers match!!! Problem #2 Partner A  Synthetic Division Partner B  Long Division Check that your answers match!!!

Homework Test 2A corrections and Practice 2B