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

Slides:



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

Remainder and Factor Theorems
Warm up Use synthetic division to divide (4x3 – 3x2 + 2x + 1)/ (x – 1) (x3 – x2 – 6)/(x + 2)
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.
Unit 3 Practice Test Review. Page 9 (back) 5) List all possible rational zeros of this polynomial: 5x 4 – 31x x 2 – 31x + 6 p  1, 2, 3, 6 q  1,
Pre Calc Lesson 2.2 Synthetic Division ‘Remainder’ and ‘Factor’ Theorems Review Long Division: 5365 ÷ 27 Now review ‘long division’ of polynomials: (2x.
5.5 Apply the Remainder and Factor Theorem
Table of Contents Polynomials: The Remainder and Factor Theorems The remainder theorem states that if a polynomial, P(x), is divided by x – c, then the.
Factoring Polynomials
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.
Objectives Use the Factor Theorem to determine factors of a polynomial. Factor the sum and difference of two cubes.
5.4 – Apply the Remainder and Factor Theorems Divide 247 / / 8.
The Remainder and Factor Theorems. Solve by Using Long Division Example 1Example 2.
Real Zeros of Polynomial Functions. Quick Review.
Dividing Polynomials & The Remainder Theorem. Dividing Polynomials When dividing a polynomial by a monomial, divide each term in the polynomial by the.
Warm-Up 2/
Objective Use long division and synthetic division to divide polynomials.
7.4 THE REMAINDER & FACTOR THEOREMS Objectives: The student will be able to… 1)evaluate functions using synthetic substitution 2)determine whether a binomial.
X + 5 4x +20x R + 3 3x x Tues 11/24 Lesson 5 – 4 Learning Objective: To divide polynomials by synthetic division Hw: Pg. 308 #21-29.
Chapter 6-3 Dividing Polynomials (std Alg 2 3.0) Objectives: To understand long division of polynomials To understand synthetic division of polynomials.
 The remainder theorem states that the remainder that you get when you divide a polynomial P(x) by (x – a) is equal to P(a).  The factor theorem is.
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.
2.4/2.52.4/2.5 Real Zeros of Polynomial Functions.
Section 2-2 Synthetic Division; The Remainder and Factor Theorems.
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.
6.3 Dividing Polynomials (Day 1)
Dividing Polynomials SYNTHETIC DIVISION AND LONG DIVISION METHODS.
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.
Divide Polynomials using Long Division and Synthetic Division.
X + 5 4x +20x R + 3 3x x Tues 11/24 Lesson 5 – 4 Learning Objective: To divide polynomials by synthetic division Hw: Pg.
quotient () () () ()
Lesson 11-2 Remainder & Factor Theorems Objectives Students will: Use synthetic division and the remainder theorem to find P(r) Determine whether a given.
Sect. 2-2 Synthetic Division; The remainder and Factor theorems Objective: SWBAT use the synthetic division and to apply the remainder and factor theorems.
Warm – up #2 Find the remainder when P(x) is divided by x – c.
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.
Dividing Polynomials/Long and Synthetic Division Section 6.3.
Dividing Polynomials Section 4.3.
Divide x3 + x2 – 10x + 8 by x+4 using long division.
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.
3x + 2 6x3 - 5x2 – 12x – 4 2x2 – 3x – 2 6x3 + 4x2 -9x2 – 12x -9x2 – 6x
Section 5.4 – Dividing Polynomials
6.3 Dividing polynomials.
Section 3.2 Dividing Polynomials (std Alg 2 3.0)
Essential Questions How do we use long division and synthetic division to divide polynomials?
#2.5 Long Division.
Do Now  .
4.3 The Remainder & Factor Theorems
Remainder and Factor Theorems
Dividing Polynomials Long Division A little review:
Dividing Polynomials Algebra
Multiplying and Dividing Polynomials
Packet #8 Dividing Polynomials
Apply the Remainder and Factor Theorems
Remainder and Factor Theorem
MATH 1310 Section 4.2.
7.3 Products and Factors of Polynomials
Warm Up 1. Divide by using synthetic division. (8x3 + 6x2 + 7) ÷ (x + 2) 8x2 – 10x + 20 – 33 x Divide by using synthetic division. (x3 –
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:

1a. Divide using long division. (9x3 – 48x2 + 13x + 3) ÷ (x – 5) Dividing Polynomials Lesson 6-3 Lesson Quiz 1a. Divide using long division. (9x3 – 48x2 + 13x + 3) ÷ (x – 5) 1b. Is x – 5 a factor of 9x3 – 48x2 + 13x + 3? 2. Divide using synthetic division. (6x3 – 4x2 + 14x – 8) ÷ (x + 2) 3. Use synthetic division and the given factor x – 4 to completely factor x3 – 37x + 84. 4. Use synthetic division and the Remainder Theorem to find P(–2) when P(x) = x4 – 2x3 + 4x2 + x + 1. 9x2 – 3x – 2, R –7 no 6x2 – 16x + 46, R –100 (x + 7)(x – 3)(x – 4) 47