6.1b Adding And subtracting polynomials

Slides:



Advertisements
Similar presentations
Subtracting Polynomials. Lets review Copy the following expressions and then write the opposite of each one. 1. 2y x 2 +5x m 2 -m+3.
Advertisements

Objective Video Example by Mrs. G Give It a Try Lesson 6.3  Add and subtract polynomials  Multiply polynomials  Use special product patterns to multiply.
Simplify each polynomial Adding and Subtracting Polynomials.
9.2 Adding and Subtracting Rational Expressions Least Common Denominator of a polynomial of a polynomial.
Warm Up # _____ Write on a new page*** Add or subtract.
Adding and Taking Away The Easy Way Mental Maths Learning Objectives I will be able to use a number of different mental strategies to add and subtract.
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.
Section 4-2 Adding and Subtracting Matrices. I. Matrices can be added or subtracted if they are the same size Both matrices are 2x2 + To add them just.
3.1 Adding, Subtracting and Multiplying Polynomials 11/26/2012.
HW: 6.2 Practice Worksheet. EXAMPLE 1 Add polynomials vertically and horizontally a. Add 2x 3 – 5x 2 + 3x – 9 and x 3 + 6x in a vertical format.
Polynomial Terms and Operations. EXAMPLE 1 Add polynomials vertically and horizontally a. Add 2x 3 – 5x 2 + 3x – 9 and x 3 + 6x in a vertical.
Bell Problem Use direct substitution to evaluate the polynomial function for the given value of x: f(x)=5x 3 – 2x x – 15: x = -1.
6.3 Adding, Subtracting, & Multiplying Polynomials p. 338.
Objective: 6.3 Adding, Sutracting and Multiplying Polynomials 1 5 Minute Check  Write a quadratic function in the specified form whose graph has the given.
Warm-Up: Graph the polynomial. f(x) = x 3 – 4x + 1 xy
CHAPTER polynomials. SAT Problem of the day What is the distance between the origin and the point (-5,9)? A)5.9 B)6.7 C)8.1 D)10.3 E)11.4.
Bellwork Simplify 1) Solve by factoring 2) Solve and Graph solutions 3)
Objectives The student will be able to: 1. add and subtract polynomials. SOL: A.2b Designed by Skip Tyler, Varina High School.
Adding and Subtraction Polynomials. A monomial is an expression that is a number, a variable, or a product of a number and one or more variables. Each.
8.5 Warm-up Add and Subtract Rational Expressions Adding and Subtracting with Like Denominators
Objectives The student will be able to: 1. add and subtract polynomials.
Adding and subtracting polynomials. Types of polynomials Monomial Binomial Trinomial Polynomial 1 2x 7xy⁵ -12a + b w - m² a² + x⁴ - n³ x + d – 3y + m⁸.
Adding and Subtracting Polynomials Objective: Students will add and subtract polynomials. S. Calahan March 2008.
Warm Up Simplify each expression by combining like terms. 1. 4x + 2x
 Adding and Subtracting Polynomials Section 9-2.
By the end of this section, you will be able to: 1. Determine the LCM of polynomials 2. Add and subtract rational expressions Class notes from ___________.
CHAPTER Adding and subtracting polynomials.
Polynomial Arithmetic Mr. McOwen. Warm-Up Addition/Subtraction: Polynomial Arithmetic can use horizontal or vertical methods for each To add or subtract.
Adding and Subtracting Polynomials 1/6/2014. Example 1 Add Polynomials Vertically a. Add and 2x 32x 3 x9 + 4x 24x 2 + – x 3x 3 5x5x1 6x 26x 2 – + – 3x.
Division of Polynomials Homework Solutions Feb 19 th Assignment.
Adding and subtracting polynomials. 5x 3 + 2x 2 – x – 7 5x 3 + 2x 2 – x – 7 This is a polynomial in standard form: Leading Coefficient Degree Constant.
8.1 ADDING AND SUBTRACTING POLYNOMIALS To classify, add, and subtract polynomials.
Add & Subtract Polynomials Aim: Simplify a polynomial expression by adding or subtracting (add the inverse) polynomials.
EXAMPLE 1 Add polynomials vertically and horizontally a. Add 2x 3 – 5x 2 + 3x – 9 and x 3 + 6x in a vertical format. SOLUTION a. 2x 3 – 5x 2 + 3x.
Adding, Subtracting, and Multiplying Polynomials 6.3 By: Garrett Horrell & Zack Olszewski.
WHAT YOU WILL LEARN: To describe polynomials To add and subtract polynomials …And why To combine and simplify polynomials. ADDING AND SUBTRACTING POLYNOMIALS.
Do Now: Simplify and write in standard form x 2 - x 2 + 4x – 1 -6x 2. 2 – 7x – x 3.
6 – 3 Adding, Subtracting and Multiplying Polynomials Day 1 Objective: Add, subtract, and multiply polynomials.
Notes Over 6.3 Adding Polynomial Horizontally and Vertically Find the sum. Just combine like terms.
6.3 Adding, Subtracting, & Multiplying Polynomials p. 338 What are the two ways that you can add, subtract or multiply polynomials? Name three special.
Adding, Subtracting, and Multiplying Polynomials
Lesson 2 Notes - Adding and Subtracting Polynomials
Adding.
“Adding & Subtracting Polynomials”
Adding, Subtracting, and Multiplying Polynomials
3.1b Objectives The student will be able to:
Add, Subtract and Multiply Polynomials
Topic 1: Be able to combine functions and determine the resulting function. Topic 2: Be able to find the product of functions and determine the resulting.
Adding and Subtracting Polynomials
6.3 Adding, Subtracting, and Multiplying Polynomials
Objectives The student will be able to:
Objectives The student will be able to:
Add or Subtract? x =.
Warm Up Combine like terms: 6x – 2xy – 7z + 4 – 3y + x – 7xy + 3y xz.
To add or subtract polynomials, combine like terms.
Objectives The student will be able to:
To add polynomials: like terms standard form
1) x – x2 + x = 5x x – 3 2) 3x + 2x – 6x x – 7 = – 4x x
Warm Up Simplify each expression by combining like terms. 1. 4x + 2x
5.3 Add, Subtract, and Multiply Polynomials
Objectives The student will be able to:
Lesson 3.2 Adding and Subtracting Linear Expressions
7.4 Adding and Subtracting Polynomials
Adding and Subtracting Polynomials.
Adding and Subtracting
8-3b Multiplying Polynomials Using Punnett Squares
Objectives The student will be able to:
Algebra 1 Section 9.2.
Bell Ringer  .
Algebra 1 O.T.Q. Simplify each expression by combining like terms.
Presentation transcript:

6.1b Adding And subtracting polynomials Objective- Students will be able to add and subtract polynomials State Standard – 3.0 Students are adept at operations on polynomials

6.1b Adding & Subtracting Polynomials Example 1 Adding & subtracting can be done both vertically and horizontally by matching up like terms. 3x3 + 2x2 – x – 7 + x3 – 10x2 + 8 4x3 – 8x2 – x + 1 Example 2 (2x2 + 3x) – (3x2 + x – 4) = 2x2 + 3x – 3x2 – x +4 = -x2 + 2x + 4

Adding & Subtracting Polynomials Example 3 -2x4 – 3x3 + 5x2 – 2x – 3 + 8x4 + x3 – 10x2 + 3x + 8 6x4 – 2x3 – 5x2 + x + 5

Adding & Subtracting Polynomials Example 4 (6x2 + 9x) – (2x2 + x – 3) = 6x2 + 9x – 2x2 – x + 3 = 4x2 + 8x + 3

6.1 Homework Page 315-316 1-4, 25, 26, 37-39, and 46-48