Presentation is loading. Please wait.

Presentation is loading. Please wait.

Honors Precalculus February 21, 2018 Mr. Agnew

Published byRhoda Dean Modified over 6 years ago

Similar presentations

Presentation on theme: "Honors Precalculus February 21, 2018 Mr. Agnew"— Presentation transcript:

1 Honors Precalculus February 21, 2018 Mr. Agnew
Dividing Polynomials Honors Precalculus February 21, 2018 Mr. Agnew

2 Essential Question Essential Vocabulary How do you divide polynomials?
Synthetic Division Remainder Theorem Factor Theorem

3 Dividing Polynomials Long Division of Polynomials:
P(x) = D(x) · Q(x) + R(x) Using Synthetic Division: Number in “box” is what makes divisor equal to zero Insert 0 for any missing terms Reduces polynomial by one degree Why would we ever use long division? Examples…

4 Remainder & Factor Theorems
The Remainder Theorem Given polynomial P(x), the value of P(c) is remainder from synthetic division using c. If you get a remainder of zero when using c in the “box,” what can you say about c? If c is a zero of function, then x – c is a factor of polynomial. Page 210 #88, 90, 94 & Examples…

5 Homework Page 194 #45, 47, 103, 105, 107 A34 #7, 9, 11, 19, 23, 27 Page 209 – 211 #15 – 19 (ODD), 87, 89, 93, 94, 100, 101

Download ppt "Honors Precalculus February 21, 2018 Mr. Agnew"

Similar presentations

Dividing Polynomials Section 2.4. Objectives Divide two polynomials using either long division or synthetic division. Use the Factor Theorem to show that.

Dividing Polynomials Section 2.4. Objectives Divide two polynomials using either long division or synthetic division. Use the Factor Theorem to show that.
5.3 Division of Polynomials. Dividing a Polynomial by a monomial.  Divide each term of the polynomial by the monomial.

5.3 Division of Polynomials. Dividing a Polynomial by a monomial.  Divide each term of the polynomial by the monomial.
Section 5.4 Dividing Polynomials. Review of Long Division What terms do we use to describe 672 and 21? Because the reminder is zero, we know that 21 is.

Section 5.4 Dividing Polynomials. Review of Long Division What terms do we use to describe 672 and 21? Because the reminder is zero, we know that 21 is.
Bell Problem Find the real number solutions of the equation: 18x 3 = 50x.

Bell Problem Find the real number solutions of the equation: 18x 3 = 50x.
Long Division Algorithm and Synthetic Division!!!

Long Division Algorithm and Synthetic Division!!!
2.5 Apply the Remainder and Factor Theorems p. 120 How do you divide polynomials? What is the remainder theorem? What is the difference between synthetic.

2.5 Apply the Remainder and Factor Theorems p. 120 How do you divide polynomials? What is the remainder theorem? What is the difference between synthetic.
5.4 – Apply the Remainder and Factor Theorems Divide 247 / 3 8829 / 8.

5.4 – Apply the Remainder and Factor Theorems Divide 247 / / 8.
Polynomial Division and the Remainder Theorem Section 9.4.

Polynomial Division and the Remainder Theorem Section 9.4.
6.5 The Remainder and Factor Theorems p. 352 How do you divide polynomials? What is the remainder theorem? What is the difference between synthetic substitution.

6.5 The Remainder and Factor Theorems p. 352 How do you divide polynomials? What is the remainder theorem? What is the difference between synthetic substitution.
Copyright © 2009 Pearson Education, Inc. CHAPTER 4: Polynomial and Rational Functions 4.1 Polynomial Functions and Models 4.2 Graphing Polynomial Functions.

Copyright © 2009 Pearson Education, Inc. CHAPTER 4: Polynomial and Rational Functions 4.1 Polynomial Functions and Models 4.2 Graphing Polynomial Functions.
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.

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.
 PERFORM LONG DIVISION WITH POLYNOMIALS AND DETERMINE WHETHER ONE POLYNOMIAL IS A FACTOR OF ANOTHER.  USE SYNTHETIC DIVISION TO DIVIDE A POLYNOMIAL BY.

 PERFORM LONG DIVISION WITH POLYNOMIALS AND DETERMINE WHETHER ONE POLYNOMIAL IS A FACTOR OF ANOTHER.  USE SYNTHETIC DIVISION TO DIVIDE A POLYNOMIAL BY.
4.2 – Synthetic Division. Just as with real numbers, we can use division in regards to polynomials Two different methods; we will focus on what is known.

4.2 – Synthetic Division. Just as with real numbers, we can use division in regards to polynomials Two different methods; we will focus on what is known.
The Remainder and Factor Theorems 6.5 p. 352. When you divide a Polynomial f(x) by a divisor d(x), you get a quotient polynomial q(x) with a remainder.

The Remainder and Factor Theorems 6.5 p When you divide a Polynomial f(x) by a divisor d(x), you get a quotient polynomial q(x) with a remainder.
7.4 The Remainder and Factor Theorems Use Synthetic Substitution to find Remainders.

7.4 The Remainder and Factor Theorems Use Synthetic Substitution to find Remainders.
4-3 The Remainder and Factor Theorems

4-3 The Remainder and Factor Theorems
Copyright © 2012 Pearson Education, Inc. Publishing as Addison Wesley 4.3 Polynomial Division; The Remainder and Factor Theorems  Perform long division.

Copyright © 2012 Pearson Education, Inc. Publishing as Addison Wesley 4.3 Polynomial Division; The Remainder and Factor Theorems  Perform long division.
ACTIVITY 31: Dividing Polynomials (Section 4.2, pp. 325-331)

ACTIVITY 31: Dividing Polynomials (Section 4.2, pp )
6-7 The Division Algorithm & The Remainder Theorem dividend=quotient. divisor + remainder If a polynomial f(x) is divided by x - c, the remainder is the.

6-7 The Division Algorithm & The Remainder Theorem dividend=quotient. divisor + remainder If a polynomial f(x) is divided by x - c, the remainder is the.
1. 2 Polynomial Function A polynomial function is a function of the form where n is a nonnegative integer and each a i (i = 0,1,…, n) is a real number.

1. 2 Polynomial Function A polynomial function is a function of the form where n is a nonnegative integer and each a i (i = 0,1,…, n) is a real number.

Similar presentations

Ads by Google