Section 6.3 – Polynomial Division

Slides:

Advertisements

Similar presentations

Remainder and Factor Theorems

Advertisements

27 Feb 2013 Saturday Division 2 Section 5 Ladder Round 18.

02 March 2012 Saturday Division 2 Section 5 Ladder Round 18.

Divide each term of the numerator by 6y

Simplifying Fractions Multiplying & dividing Fractions.

Section 5.5 – The Real Zeros of a Rational Function

Section 5.6 – Complex Zeros; Fundamental Theorem of Algebra Complex Numbers Standard form of a complex number is: a + bi. Every complex polynomial function.

12.1 – Simplifying Rational Expressions A rational expression is a quotient of polynomials. For any value or values of the variable that make the denominator.

Exponents and Polynomials

Simplify Rational Algebraic Expressions In the previous section on polynomials, we divided a polynomial by a binomial using long division. In this section,

EXAMPLE 3 Use synthetic division Divide f (x)= 2x 3 + x 2 – 8x + 5 by x + 3 using synthetic division. – – 8 5 – 6 15 – 21 2 – 5 7 – 16 2x 3 + x 2.

HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Section A.2.

Polynomial Division and the Remainder Theorem Section 9.4.

Section 5-3 Dividing Polynomials Created by: John M and Nick M.

Section 2.3 Polynomial and Synthetic Division Long Division of polynomials Ex. (6x 3 -19x 2 +16x-4) divided by (x-2) Ex. (x 3 -1) divided by (x-1) Ex (2x.

Section 5.5 The Real Zeros of a Polynomial Function.

Section 5.3(d) Synthetic Substitution. Long division Synthetic Division can be used to find the value of a function. This process is called Synthetic.

Section 2-2 Synthetic Division; The Remainder and Factor Theorems.

Section 4-3 The Remainder and Factor Theorems. Remainder Theorem Remainder Theorem – If a polynomial P(x) is divided by x-r, the remainder is a constant,

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.

5.5a – Long Division.

Algebra II Explorations Review ( ) Day Divide using LONG Division. Show all work. Answer:

Warm up Objective: To divide polynomials Lesson 6-7 Polynomial Long Division.

Moon 11/23 Lesson 5 – 4 Learning Objective: To divide polynomials by long division Hw: Pg.

Divide Polynomials using Long Division and Synthetic Division.

Use the resources on the internet and each other to help you relearn the concept. Use whiteboards. Work together.

SOLUTION Divide a polynomial by a monomial EXAMPLE 1 Divide 4x 3 + 8x x by 2x. Method 1 : Write the division as a fraction. Write as fraction. Divide.

GOAL: FACTOR CUBIC POLYNOMIALS AND SOLVE CUBIC EQUATIONS Section 6-5: Factoring Cubic Polynomials.

Chapter 5 Part 1 Test Prep 5-1: Monomials 5-2: Polynomials 5-3: Division of Polynomials 5-4: Factoring Choose a section to work on. At any time you may.

Notes Over 6.5 Using Polynomial Long Division

Warmup Divide using synthetic division using the zero given. Then factor the answer equation completely and solve for the remaining zeroes. Show.

1 Algebra 2: Section 6.5 The Remainder and Factor Theorems (Day 2)

Section 3.4 – Zeros of a Polynomial. Find the zeros of 2, -3 (d.r), 1, -4.

Division of Polynomials Homework Solutions Feb 19 th Assignment.

Dividing Polynomials/Long and Synthetic Division Section 6.3.

Conjugate Pairs Theorem Every complex polynomial function of degree n  1 has exactly n complex zeros, some of which may repeat. 1) A polynomial function.

Section 4.1 Polynomial Functions and Models.

Section 6.2 Multiplication and Division. Multiplying Rational Expressions 1) Multiply their numerators and denominators (Do not FOIL or multiply out the.

Dividing Polynomials Section 4.3.

Divide x3 + x2 – 10x + 8 by x+4 using long division.

Section 3.2 Dividing Polynomials (std Alg 2 3.0)

#2.5 Long Division.

FUNDAMENTAL ALGEBRA Week 4.

Dividing Polynomials Long Division A little review:

1a. Divide using long division. (9x3 – 48x2 + 13x + 3) ÷ (x – 5)

Remainder Theorem Section 5.5 Part 1.

5.1 – Basic Properties & Reducing to Lowest Terms

Dividing Polynomials.

Section 6.3 Dividing Polynomials

5 Section 5 Dividing Polynomials.

Exponents and Polynomials

Review Algebra.

Remainder and Factor Theorem

MATH 1310 Section 4.2.

Section 2.1 Divisibility Rules

The Factor Theorem A polynomial f(x) has a factor (x − k) if and only if f(k) = 0.

Dividing Polynomials (Long Division)

Dividing Polynomials (Long Division)

MATH 1310 Section 4.2.

Dividing Polynomials (Long Division)

Polynomial and Rational Functions

Dividing Polynomials Chapter 5, Section 3.

Dividing Polynomials (Long Division)

MATH 1310 Section 4.3.

6-3: Dividing Polynomials

Division of Polynomials

MATH 1310 Section 4.3.

Factorisation of Polynomials

Presentation transcript:

Section 6.3 – Polynomial Division

3x 3x x

–3

3 -1 1 0 1 3 -1 4 -1 3 3 -1 1 -1 -1 -1 1 1 -1 1 1 -1 1 0 -2 1 -3 1 1 -1 -1 -1 1 -1 -1 1 -3

1 4 14 1 -4 2 1 0 0 -3 5 1 -4 2 4 -2 -3 4 -16 8 14 -11 5 14 -56 28 45 -23

2 -4 2 3 -1 4 -2 4 -5 4 6 -2 -8 6 -5 -8 -12 4 18 -9

3 -2 1 2 -1 3 4 -7 2 3 6 -3 -2 -4 2 -2 -4 2

1 -3 1 -2 2 1 -5 8 -6 1 -2 2 -3 6 -6 -3 6 -6

2 5 -3 1 0 4 2 5 5 20 -12 2 0 8 5 -3 20 5 0 20 -3 0 -12 -3 0 -12