Apply the Remainder and Factor Theorems

Slides:



Advertisements
Similar presentations
Remainder and Factor Theorems
Advertisements

5.3 Division of Polynomials. Dividing a Polynomial by a monomial.  Divide each term of the polynomial by the monomial.
6.3 Dividing Polynomials. Warm Up Without a calculator, divide the following Solution:
5.5 Apply the Remainder and Factor Theorem
Bell Problem Find the real number solutions of the equation: 18x 3 = 50x.
Dividing Polynomials 3
5.4 – Apply the Remainder and Factor Theorems Divide 247 / / 8.
Polynomial Division and the Remainder Theorem Section 9.4.
Remainder Theorem Long Division. Long Division Question Divide the following.
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.
Section 3-3 Dividing Polynomials Objectives: Use Long Division and Synthetic Division to divide polynomials.
Dividing Polynomials & The Remainder Theorem. Dividing Polynomials When dividing a polynomial by a monomial, divide each term in the polynomial by the.
The Remainder and Factor Theorems
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,
Long Division Synthetic Division Remainder Theorem Can only divide by x-a.
7.4 The Remainder and Factor Theorems Use Synthetic Substitution to find Remainders.
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.
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.
Dividing Polynomials Day #2 Advanced Math Topics Mrs. Mongold.
7.3 Products and Factors of Polynomials Objectives: Multiply polynomials, and divide one polynomial by another by using long division and synthetic division.
The Remainder Theorem A-APR 2 Explain how to solve a polynomial by factoring.
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,
2.5 Apply the Remainder and Factor Theorem Long Division and Synthetic Division Pg. 85.
Help the Poor Math Student  Vocabulary Dividend: number being divided Divisor: number you are dividing by Quotient: is number you get when you divide.
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.
3.3 Polynomial and Synthetic Division. Long Division: Let’s Recall.
Solving Polynomials. What does it mean to solve an equation?
Get out your homework, but keep it at your desk..
Lesson 11-2 Remainder & Factor Theorems Objectives Students will: Use synthetic division and the remainder theorem to find P(r) Determine whether a given.
Polynomial and Synthetic Division Objective: To solve polynomial equations by long division and synthetic division.
9.8 Day 2 – Finding Rational Zeros. The Rational Zero Theorem: If has integer coefficients, then every rational zero of f have the following form:
Polynomial & Synthetic Division Algebra III, Sec. 2.3 Objective Use long division and synthetic division to divide polynomials by other polynomials.
Bellwork 1)Use the quadratic formula to solve 2)Use synthetic substitution to evaluate for x = 2 3) A company’s income is modeled by the function. What.
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.
Objective Use long division and synthetic division to divide polynomials.
Divide using long division.
Dividing Polynomials Section 4.3.
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.
3x + 2 6x3 - 5x2 – 12x – 4 2x2 – 3x – 2 6x3 + 4x2 -9x2 – 12x -9x2 – 6x
#2.5 Long Division.
Do Now  .
Division of a Polynomial
7.4 The Remainder and Factor Theorems
Remainder and Factor Theorems
The Remainder and Factor Theorems
Dividing Polynomials Long Division A little review:
1a. Divide using long division. (9x3 – 48x2 + 13x + 3) ÷ (x – 5)
7.4 The Remainder and Factor Theorems
Dividing Polynomials Algebra
6.3 Dividing Polynomials.
Section 5.3(c) Synthetic Division.
DIVIDING POLYNOMIALS Synthetically!
Apply the Remainder and Factor Theorems
Essential Question: How do I divide polynomials?
Warm-up: Divide using Long Division
Remainder and Factor Theorem
5.5 Apply the Remainder and Factor Theorems
6.5 The Remainder and Factor Theorems
The Remainder and Factor Theorems
4.3 – The Remainder and Factor Theorems
The Remainder and Factor Theorems
21 = P(x) = Q(x) . (x - r) + P(r) 4.3 The Remainder Theorem
Warm Up.
Warm Up.
Divide using long division
3.2 The Remainder Theorem.
Dividing Polynomials (SYNTHETIC Division)
Presentation transcript:

Apply the Remainder and Factor Theorems Notes 5.5 (Day 2) Apply the Remainder and Factor Theorems

Synthetic Division: Step 1: Set up L chart exactly like synthetic substitution, however, the number outside the L chart is the opposite of the divisor’s constant. Step 2: Complete the L chart using the same method. Step 3: The last number is the remainder, the second to last is the constant, the third to last is the x term, the fourth to last is the x2 term etc.

Divide.

Divide.

Divide.

Homework: P 366 11-18 The Remainder Theorem WS (1-6 synthetic substitution, 7-14 remainder then not a factor, use long division, 15-26 (use synthetic division)