Warm–up #4. Warm–up #4 Solutions Homework Log Wed 9/9 Lesson 1 – 4 Learning Objective: To add, subtract, & multiply polynomials Hw: #105 Pg. 36 #1 –

Slides:

Advertisements

Similar presentations

Simplify the expression. 1.(–3x 3 )(5x) ANSWER –15x 4 ANSWER –9x–9x 2. 9x – 18x 3. 10y 2 + 7y – 8y 2 – 1 ANSWER 2y 2 + 7y – 1.

Advertisements

Adding and Subtracting Polynomials Section 0.3. Polynomial A polynomial in x is an algebraic expression of the form: The degree of the polynomial is n.

Lesson 8-1 Warm-Up.

Combine Like Terms 1) 3x – 6 + 2x – 8 2) 3x – x ) 10xy + 5y – 6xy – 14y 5x – 14 15x + 3 4xy – 9y Warm up.

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.

How do I use Special Product Patterns to Multiply Polynomials?

Degree The largest exponent Standard Form Descending order according to exponents.

 Simplify the following…  2(4 + x)  x(x – 3x 2 + 2)  5x – 2 + 6x  2x 2 + 5x – 11x  8x(4x 2 )

5.4 Multiplying Polynomials

1 ALGEBRA 1 Adding and Subtracting Polynomials Mr. J. Grossman.

CLASSIFYING POLYNOMIALS. A _______________ is a sum or difference of terms. Polynomials have special names based on their _______ and the number of _______.

Algebra 10.1 Adding and Subtracting Polynomials. Intro Polynomial-the sum of terms in the form ax k where k is a nonnegative integer. A polynomial is.

Adding and Subtracting Polynomials ALGEBRA 1 LESSON 9-1 (For help, go to Lesson 1-7.) Simplify each expression. 1.6t + 13t2.5g + 34g 3.7k – 15k4.2b – 6.

Warm–up #3. Warm–up #3 Solutions Homework Log Tues 11/3 Lesson 3 – 2 Learning Objective: To find difference quotients & to graph functions Hw: #304 Pg.

Homework Log Thurs 11/19 Lesson 5 – 1 Learning Objective:

POLYNOMIAL Function: A polynomial is the monomial or the sum of monomials with all exponents as whole numbers and coefficients are all real numbers. Ex-

Polynomial definitions Al gebraic expression -numbers and/or variables with operations 2a + 4 3r6y  7 term: numbers or variables separated by a + sign.

Honors Advanced Algebra Lesson 2-1. Warm-up Simplify the following by combining like terms. 1. 2xyz + 4x + 5y + 2x – 3z – 2y – xyz 2. 3x 2 + 4x 3 – 2x.

Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!

Warm–up #6. Warm–up #6 Solutions Homework Log Thurs 9/24 Lesson 1 – 9 Learning Objective: To simplify radical expressions Hw: #114 Pg. 85 #1 – 71 odd.

Warm–up #3. Warm–up #3 Solutions –1 5 Warm–up #3 Solutions –5 1.

Homework Log Wed 1/6 Lesson 5 – 3 Learning Objective: To apply the Fundamental Theorem of Algebra & Descartes’ Rule of Signs Hw: #505 Pg. 293 #1 – 25 odd.

Polynomials Terms and Multiplying. Polynomial Term – number, variable or combination of the two, 2, x, 3y Polynomial – made up of 1 or more terms, separated.

Topic 7: Polynomials.

Warmup How many “words” can I make with the letters in SUMMIT?

Polynomials Polynomials  Examples : Monomials: 4f 3x 3 4g 2 2 Binomials: 4t – 7g 5x 2 + 7x 6x 3 – 8x Trinomials: x 2 + 2x + 3 5x 2 – 6x.

8.1 ADDING AND SUBTRACTING POLYNOMIALS To classify, add, and subtract polynomials.

Y x Warm – up # xy

Add and Subtract Polynomials Lesson 9.1 OBJ: to add and subtract polynomials.

Name ____________________________________________ Date _______________ Per_____ Polynomials Review Adding Ex: 1. Simplify 2. Find the perimeter Subtracting.

5.9 Multiplication of Monomials and Binomials How to Multiply a Mono by a Poly: Distribute the monomial by the polynomial.

8.1 adding and subtracting polynomials Day 1. Monomial “one term” Degree of a monomial: sum of the exponents of its variables. Zero has no degree. a.

An expression which is the sum of terms of the form a x k where k is a nonnegative integer is a polynomial. Polynomials are usually written in standard.

Polynomials Monomial---1 term A number, variable or the product of a number and a variable Terms Monomials separated by addition or subtraction signs A.

Terms Monomials separated by addition or subtraction signs Polynomials A monomial or the sum of monomials Binomial---2 terms Trinomial---3 terms Monomial---1.

1.4 Polynomials. Polynomials Degree of term = sum of exponents on variables Degree of Poly = largest degree among terms Poly Type (# of terms) Degree.

In this lesson we will classify, add and subtract polynomials.

8-1 Adding and subtracting Polynomials

Lesson 10.1: Adding/subtracting Polynomials

5.2 Polynomials Objectives: Add and Subtract Polynomials

Let’s Begin!!! .

Polynomial Functions and Adding and Subtracting Polynomials

Algebra I Section 9.1 – 9.2 Review

Aim: How do we multiply polynomials?

7.1 – Adding & Subtracting Polynomials

Warm–up #4 1. Evaluate − Write as exponents 4 8

DO NOW : Simplify 1. -9b + 8b 2. 6y – y 3. 4m + (7 - m)

Multiplying Polynomials

Lesson 5.3 Operations with Polynomials

Let’s Begin!!! .

Adding and Subtracting Polynomials (9.1)

Adding and Subtracting Polynomials

Let’s Begin!!! .

CLASSIFYING POLYNOMIALS

Polynomials and Polynomial Functions

Adding and subtracting

Combine Like Terms 3x – 6 + 2x – 8 3x – x + 10

Problem of the Day (4x2 – 2x – 6) + (4x2 – 7x + 10)

Let’s Begin!!! .

3.1 Polynomials How do I know if it’s a polynomial?

CLASSIFYING POLYNOMIALS

ALGEBRA I - SECTION 8-1 (Adding and Subtracting Polynomials)

Let’s Review Functions

10.1 add/subtract polynomials

8.1 Adding and Subtracting Polynomials

Let’s Begin!!! .

Let’s Begin!!! .

Let’s Begin!!! .

Presentation transcript:

Warm–up #4

Warm–up #4 Solutions

Homework Log Wed 9/9 Lesson 1 – 4 Learning Objective: To add, subtract, & multiply polynomials Hw: #105 Pg. 36 #1 – 8 all, 9 – 61 eoo

9/9/15 Lesson 1 – 4 Polynomials Advanced Math/Trig

Learning Objective To add polynomials To subtract polynomials To multiply polynomials To name polynomials

Polynomials Degree of Term – sum of exponents on variables Degree of Polynomial – largest degree among terms Monomial – one term Binomial – two terms Trinomial – three terms

Polynomials DegreeType nonemonomial 0monomial 1 (linear)binomial 2 (quadratic)trinomial 3 (cubic)binomial 4 (quartic)trinomial 5 (quantic)binomial

Adding & Subtracting Polynomials 1. Combine like terms 2. Distribute (–) sign cubic trinomial degree 6 polynomial

Multiplying Polynomials 3. distribute 4. F irst O uter I nner L ast quartic poly quadratic trinomial

Multiplying Polynomials 5. F irst O uter I nner L ast unknown degree trinomial

Box Method – y 3x –xy 6xy x 2y

Vertical Method degree 6 poly 7.

Box Method x – 4 – 1 –x 4

Box Method –3x – 1 3x –1 1

Special Product Rules

Multiply

Multiply

Multiply

Multiply

Multiply

Ticket Out the Door

Homework #105 Pg – 8 all, 9 – 63 odd & name answer by degree & # of terms