A.4b Synthetic Division To thine own self be true, And it must follow, as the night the day, Thou canst not then be false to any man. -William Shakespeare.

Slides:

Advertisements

Similar presentations

Plowing Through Sec. 2.4b with Two New Topics: Homework: p odd Remainder and Factor Theorems with more Division Practice.

Advertisements

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

Unit 3 Practice Test Review. 1a) List all possible rational zeros of this polynomial: 5x 4 – 31x x 2 – 31x + 6 p  1, 2, 3, 6 q  1, 5 p  1, 2,

Pre Calc Lesson 2.2 Synthetic Division ‘Remainder’ and ‘Factor’ Theorems Review Long Division: 5365 ÷ 27 Now review ‘long division’ of polynomials: (2x.

Dividing Polynomials; Remainder and Factor Theorems.

5.5 Apply the Remainder and Factor Theorem

Bell Problem Find the real number solutions of the equation: 18x 3 = 50x.

Divisibility rules.

HW: Pg #13-61 eoo.

Warm - up 6.3a Simplify: 1. 4x x 2 4x x 2 x 2 5 x + 7 Find the missing factor: 3. x 2 – 2x – 63 = (x-9)(?) 4. 2x x + 15 = (x+5)(?) 2x + 3.

Warm Up Divide using long division ÷ ÷

5.4 – Apply the Remainder and Factor Theorems Divide 247 / / 8.

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.

3.2 Dividing Polynomials 11/28/2012. Review: Quotient of Powers Ex. In general:

1 Warm-up Determine if the following are polynomial functions in one variable. If yes, find the LC and degree Given the following polynomial function,

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

Warm Up 9-1 Use long division to find the quotient and remainder for the problems below ÷ ÷ 4.

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.

6-5: The Remainder and Factor Theorems Objective: Divide polynomials and relate the results to the remainder theorem.

quotient is x + 6 and remainder is quotient is x.

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.

UNIT 2, LESSON 4 THEOREMS ABOUT ZEROS. GETTING STARTED Find the quotient and remainder when is divided by x-3.

7.3 Products and Factors of Polynomials Objectives: Multiply polynomials, and divide one polynomial by another by using long division and synthetic division.

SFM Productions Presents: Another saga in your continuing Pre-Calculus experience! 2.3Polynomial and Synthetic Division.

Factor Theorem Using Long Division, Synthetic Division, & Factoring to Solve Polynomials.

Using theorems to factor polynomials.  If a polynomial f(x) is divided by x-k, then the remainder r = f(k)  This is saying, when you divide (using synthetic.

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

Dividing Polynomials SYNTHETIC DIVISION AND LONG DIVISION METHODS.

2.5 Apply the Remainder and Factor Theorem Long Division and Synthetic Division Pg. 85.

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

WARM UP. Homework Q’s Dividing Polynomials using Synthetic Division EQ: How is Long Division utilized to divide a polynomial functions? Assessment:

Divide Polynomials using Long Division and Synthetic Division.

Solving Polynomials. What does it mean to solve an equation?

Finding Roots With the Remainder Theorem. Dividing Polynomials Remember, when we divide a polynomial by another polynomial, we get a quotient and a remainder.

quotient () () () ()

Sullivan Algebra and Trigonometry: Section R.6 Polynomial Division Objectives of this Section Divide Polynomials Using Long Division Divide Polynomials.

3x + 2 6x 3 - 5x 2 – 12x – 4 DMSBDMSB 2x 2 6x 3 + 4x 2 -9x 2 – 12x – 3x -9x 2 – 6x – 4 – 2 – 6x– 4 0 Check: (3x + 2)(2x 2 – 3x – 2) = 6x 3 – 9x 2 – 6x.

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.

Long and Synthetic Division. Long Division Polynomial long division can be used to divide a polynomial d(x), producing a quotient polynomial q(x) and.

Solving Polynomials. Factoring Options 1.GCF Factoring (take-out a common term) 2.Sum or Difference of Cubes 3.Factor by Grouping 4.U Substitution 5.Polynomial.

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.

Dividing Polynomials Section 4.3.

Dividing Polynomials Two options: Long Division Synthetic Division.

Warm Up Compute the following by using long division.

3x + 2 6x3 - 5x2 – 12x – 4 2x2 – 3x – 2 6x3 + 4x2 -9x2 – 12x -9x2 – 6x

Section 5.4 – Dividing Polynomials

#2.5 Long Division.

Division of a Polynomial

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

Dividing Polynomials Algebra

5.2 The Factor Theorem & Intermediate Value Theorem

Apply the Remainder and Factor Theorems

Real Zeros of Polynomial Functions

Remainder and Factor Theorem

Homework Check.

A.4b Synthetic Division To thine own self be true, And it must follow, as the night the day, Thou canst not then be false to any man. -William Shakespeare.

Long Division and Synthetic Division

Dividing Polynomials WOW! I want to learn how to do that?

“You wasted $150,000 on an education you coulda got for $1

Objective: Learn to test for divisibility.

Content Objective: We will divide polynomials.

Divide using long division

Presentation transcript:

A.4b Synthetic Division To thine own self be true, And it must follow, as the night the day, Thou canst not then be false to any man. -William Shakespeare

Synthetic Division Synthetic Division is a process whereby (who says “whereby”?) the quotient and remainder can be determined when a polynomial function f is divided by x – c

Synthetic Division Use synthetic division to perform the indicated operation.

Synthetic Division Practice: Use synthetic division to perform the following operation.

Synthetic Division Synthetic division can be used to determine whether (x-c) is a factor of a given polynomial. The remainder must be zero. Determine whether is a factor of

A.4b Synthetic Division To thine own self be true, And it must follow, as the night the day, Thou canst not then be false to any man. -William Shakespeare Homework: p.983 #27-43 odd Check on calc!