Dividing Polynomials (Long Division)

Slides:



Advertisements
Similar presentations
Dividing Fractions Lesson 5-3.
Advertisements

EXAMPLE 3 Standardized Test Practice SOLUTION 8x 3 y 2x y 2 7x4y37x4y3 4y4y 56x 7 y 4 8xy 3 = Multiply numerators and denominators. 8 7 x x 6 y 3 y 8 x.
Warm up Use synthetic division to divide (4x3 – 3x2 + 2x + 1)/ (x – 1) (x3 – x2 – 6)/(x + 2)
Divide each term of the numerator by 6y
Simplifying Fractions Multiplying & dividing Fractions.
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,
Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression following the division.
1.Be able to divide polynomials 2.Be able to simplify expressions involving powers of monomials by applying the division properties of powers.
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.
3.7 Warm Up Solve the equation. 1. √(x + 3) + 8 = √(8 – 3x) + 5 = √(2x + 1) – 7 = 1.
Vocabulary  Rational Expression – a ratio of 2 polynomial expressions.  Operations with rational numbers and rational expressions are similar.  Just.
Dividing Polynomials Chapter – – 15y 4 – 27y 3 – 21y 2 3y – 27 3 – 21 3 y 2 y Divide. y 4 y 2 y 2 y 3 y 2 y 2 Write as separate fractions.
Do Now Pass out calculators. Write down the weeks assignments. Pick up a worksheet from the back and wait for instructions.
3.7Divide Polynomials Example 1 Divide a polynomial by a monomial Divide 10x 3  25x x by 5x. Solution Method 1: Write the division as a fraction.
5-3 Dividing Polynomials Objectives Students will be able to: 1) Divide polynomials using long division 2) Divide polynomials using synthetic division.
DIVISIBILITY RULES.
6.3 Dividing Polynomials 1. When dividing by a monomial: Divide each term by the denominator separately 2.
Complex Numbers, Division of Polynomials & Roots.
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,
Dividing Polynomials SYNTHETIC DIVISION AND LONG DIVISION METHODS.
5.3 Dividing Polynomials Objectives: 1.Divide polynomials using long division 2.Divide polynomials using synthetic division.
Dividing Polynomials. To divide a polynomial by a monomial, divide each term by the monomial.
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.
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.
Table of Contents Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression.
Notes Over 6.5 Using Polynomial Long Division
6-3 DIVIDING POLYNOMIALS Synthetic division. Using synthetic division to perform long division of polynomials  Procedures to follow for synthetic division:
Dividing Fractions.
Warmup Divide using synthetic division using the zero given. Then factor the answer equation completely and solve for the remaining zeroes. Show.
EXAMPLE 4 Rewrite polynomials Divide 5y + y by 2 + y. Rewrite polynomials. Multiply y and y + 2. y 2 + 2y Subtract y 2 + 2y. Bring down 4. 3y + 4.
5.1 – 5.6 Review Algebra 2. Exponents! Evaluate the expression: ∙ (x 3 y -5 )(x 2 y) 2 3.(3x 3 y 6 ) -2.
8.2: Multiplying and Factoring. Warm-up:  Greatest Common Factor (GCF)  The greatest factor that divides evenly into each term of an expression  Find.
Dividing Polynomials Section 4.3.
Warm Up Compute the following by using long division.
Assignment 15: 11.5 WB Pg. 153 #2 – 20 even
Essential Questions How do we use long division and synthetic division to divide polynomials?
#2.5 Long Division.
Do Now  .
Division of a Polynomial
Dividing Fractions.
Monomials (Ex: 2x): It divides into everything…
8.1 Multiplying and Dividing Rational Expressions
1a. Divide using long division. (9x3 – 48x2 + 13x + 3) ÷ (x – 5)
Dividing Polynomials Algebra
Without a calculator, simplify the expressions:
Dividing Fractions Lesson 5-9.
Remainder and Factor Theorem
MATH 1310 Section 4.2.
The area of a rectangle is 2
Polynomials Created by Educational Technology Network
11.5 Dividing Polynomials.
Section 6.3 – Polynomial Division
Dividing Polynomials (Long Division)
MATH 1310 Section 4.2.
Dividing Polynomials (Long Division)
6.7 Dividing a Polynomial by a Polynomial
Dividing Polynomials Chapter 5, Section 3.
Content Objective: We will divide polynomials.
Dividing Polynomials (Long Division)
3.7 Divide Polynomials - + Divide a polynomial by a monomial = =
6-3: Dividing Polynomials
Division of Polynomials
Dividing Fractions.
Divide 9 × by 3 ×
Presentation transcript:

Dividing Polynomials (Long Division) 2/28/2019 4:11 PM Dividing Polynomials (Long Division)

Dividing Polynomials (Long Division) Example 1 Divide (x2 – 5x + 4) ÷ (x – 1) Rewrite in long division form... 2/28/2019 4:11 PM2/28/2019 4:11 PM Dividing Polynomials (Long Division)

Dividing Polynomials (Long Division) Example 2 Divide (x3 – 28x – 48) ÷ (x + 4) 2/28/2019 4:11 PM2/28/2019 4:11 PM Dividing Polynomials (Long Division) 3 3

Dividing Polynomials (Long Division) Example 3 Rewrite in long division form... Divide (2x2 + 3x – 4) ÷ (x – 2) 2/28/2019 4:11 PM2/28/2019 4:11 PM Dividing Polynomials (Long Division) 4 4

Dividing Polynomials (Long Division) Example 4 Divide (12x4 - 5x2 – 3) ÷ (3x2 + 1) 2/28/2019 4:11 PM2/28/2019 4:11 PM Dividing Polynomials (Long Division) 5 5

Dividing Polynomials (Long Division) Example 5 Divide (x3 – 6) ÷ (x – 1) 2/28/2019 4:11 PM2/28/2019 4:11 PM Dividing Polynomials (Long Division) 6 6

Dividing Polynomials (Long Division) Example 6 Divide 2/28/2019 4:11 PM2/28/2019 4:11 PM Dividing Polynomials (Long Division) 7 7