Warm Up Rewrite 4x – 2x4 + 5x3 – 2 in standard form. Then, name by degree & number of terms. Name 150 by degree & number of terms. Simplify.

Slides:



Advertisements
Similar presentations
Add or subtract 1. (x 2 + 4x – 1) + (5x 2 – 6x + 4) 2. (5y 2 – 9y + 1) – (7y 2 – 8y – 6) Find the product 3.(x – 6)(3x + 4) 4.(2x + 5)(3x + 4) 6x 2 – 2x.
Advertisements

7.4 - Polynomials. polynomial polynomial – a monomial or sum of monomials.
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.
 Pg. 15 #37-42, 46-49,53, 55. Learning Target: I will recognize the types of polynomials and multiply them together to get a single polynomials. Learning.
Write each expression in standard form. Then name each polynomial by its degree and number of terms. 1.(2x 4 + 3x – 4) + (–3x x 4 ) 2.(–3r + 4r 2.
1 OCF Operations With Polynomials MCR3U - Santowski.
Section 9-3 Multiplying Binomials SPI 12D: multiply two polynomials with each factor having no more than two terms Objectives: Multiply binomials by modeling.
Unit 4 Operations & Rules
Do Now: Evaluate each expression for x = -2. Aim: How do we work with polynomials? 1) -x + 12) x ) -(x – 6) Simplify each expression. 4) (x + 5)
Polynomials and Factoring Review By: Ms. Williams.
Combine Like Terms 1) 3x – 6 + 2x – 8 2) 3x – x + 10 Exponent Rules 3) What is 2x  3x? 5x – 14 15x + 3 6x 2 Warm up.
Warm Up 1.) What is the simplified form of –x2(2x3 + 5x2 + 6x)?
Combine Like Terms 1) 3x – 6 + 2x – 8 2) 3x – x ) 10xy + 5y – 6xy – 14y 5x – 14 15x + 3 4xy – 9y Warm up.
Degree The largest exponent Standard Form Descending order according to exponents.
5-2 Polynomials Objectives Students will be able to: 1)Add and subtract polynomials 2)Multiply polynomials.
Section 9-1 Adding and Subtracting Polynomials SPI 12C: add and subtract algebraic expressions Objectives: Classify a polynomial by degree and number of.
13.01 Polynomials and Their Degree. A polynomial is the sum or difference of monomials. x + 3 Examples: Remember, a monomial is a number, a variable,
Lesson 2.1 Adding and Subtracting Polynomials..
4.2 Adding and Subtracting Polynomials Objective: To add and subtract polynomials. Warm – up: Simplify: 1) 6x + 7y + 4x2) m – 6 + 4m 3) -(5a – 2b.
Aim: How do we multiply polynomials? Do Now: Multiply the following 1. 2x(3x + 1) 2. (x – 1)(x + 2) 3. (x +2)(x 2 – 3x + 1)
POLYNOMIALS Unit 4. The Laws of Exponents Let m and n be positive integers and a and b be real numbers with a 0 and b 0 when they are the divisors  a.
Warm Up Week 1 1) 2( x + 4 ) 2x 2 = 50 2x + 8 x = ±5 2)
2.2 Warm Up Find the sum or difference. 1. (2x – 3 + 8x²) + (5x + 3 – 8x²) 2. (x³ - 5x² - 4x) – (4x³ - 3x² + 2x – 8) 3. (x – 4) – (5x³ - 2x² + 3x – 11)
On the count of 3, say… “Irish wristwatch”. Warm ups 1.Solve the system of equations: 3x + 5y = 11 2x + 3y = 7 2.What percent of 16 is 5.12? 3.Find the.
CLASSIFYING POLYNOMIALS. A _______________ is a sum or difference of terms. Polynomials have special names based on their _______ and the number of _______.
Multiplying Polynomials. Exponents Remember if you are multiplying numbers with the same base, then ADD the exponents together. Examples:
5.5 Polynomials Goals: 1.To identify terms, coefficients, and factors of a term. 2.To simplify a poly by collecting like terms 3.To identify the degree.
Combine Like Terms 1) 3x – 6 + 2x – 8 2) 3x – x + 10 Exponent Rules 3) What is 2x  3x? 5x – 14 15x + 3 6x 2 Warm up #1.
Polynomials. Polynomial Term Binomial Trinomial 1 or more monomials combined by addition or subtraction each monomial in a polynomial polynomial with.
ALGEBRA 1 Lesson 8-2 Warm-Up. ALGEBRA 1 This is an area model using Algebra Tiles. Simply model 3x + 1 on the top (length of rectangle) and 2x on the.
Problems of the Day Simplify each expression. 1. 9m 2 – 8m + 7m 2 2. (10r 2 + 4s 2 ) – (5r 2 + 6s 2 ) 3. (pq + 7p) + (6pq – 10p – 5pq) 4. (17d 2 – 4) –
Adding and Subtracting Polynomials
9-2 Multiplying and Factoring
Do Now: Evaluate each expression for x = -2. Aim: How do we work with polynomials? 1) -x + 12) x ) -(x – 6) Simplify each expression. 4) (x + 5)
Warmup How many “words” can I make with the letters in SUMMIT?
Section 5.4 Factoring Quadratic Expressions Obj: to find common and binomial factors of quadratic expressions.
Adding and Subtracting Polynomials. 1. Determine whether the given expression is a monomial (Yes or No). For those that are monomials, state the coefficient.
Name ____________________________________________ Date _______________ Per_____ Polynomials Review Adding Ex: 1. Simplify 2. Find the perimeter Subtracting.
 Adding and Subtracting Polynomials. What is a monomial? Give an example. 1.
In this lesson, we will multiply polynomials
8-2 Multiplying Polynomials
Lesson 10.1: Adding/subtracting Polynomials
5.2 Polynomials Objectives: Add and Subtract Polynomials
Let’s Begin!!! .
8-1 Adding and Subtracting Polynomials
Aim: How do we multiply polynomials?
Warm Ups Preview 12-1 Polynomials 12-2 Simplifying Polynomials
Section 6.2: Polynomials: Classification, Addition, and Subtraction
8.6 Multiplying a Polynomial by a Monomial
Lesson 7-4 Polynomials p. 424.
Multiplying Polynomials
Lesson 5.3 Operations with Polynomials
Polynomials Monomials & Operations
Let’s Begin!!! .
Polynomials.
Adding and Subtracting Polynomials (9.1)
Adding and Subtracting Polynomials
Math 9 Honours Section 4.1 Multiplying & Dividing Polynomials
Polynomial Vocabulary and Adding & Subtracting Polynomials
I can use the generic rectangle to simplify expressions.
Multiplying and Factoring
Day 2 Multiplying Linear Expressions Monomials by binomials And
5x – 14 15x + 3 6x2 Warm up #1 Combine Like Terms Exponent Rules
(2)(4) + (2)(5) + (3)(4) + (3)(5) =
Introduction to Polynomials
Ch Part 1 Multiplying Polynomials
Warm-up: Simplify. Put in standard form.
9.2 - Multiplying Polynomials
Bell Ringer  .
Do Now: Aim: How do we work with polynomials?
Presentation transcript:

Warm Up Rewrite 4x – 2x4 + 5x3 – 2 in standard form. Then, name by degree & number of terms. Name 150 by degree & number of terms. Simplify

Homework Check 6.1 a) b) 1024q15 c) 1 d) a) 5, 25, 45, 65, 85, 105 c) Scenario 1, because the total after 5 days is $15 more then it would have been from Scenario 2

Find the Perimeter Worksheet (pg 12 in the packet) 1)

2)

#3 #4

# 5 #6

MULTIPLYING LINEAR EXPRESSIONS Unit 6, Day 2 MULTIPLYING LINEAR EXPRESSIONS

Multiplying Monomials Multiply Coefficients & Add Exponents (4x2)(5x) 2. (-2xy)(6x4y) 3. (-3w)(-4w) 4. (5yz3)(xyz)

Multiplying Monomials and Binomials When you are multiplying a Monomial with a Binomial or Trinomial you DISTRIBUTE! 3x(-2x + 3)

Practice Problems: 1. x(5 + 3) 2. (y – 6)(-5) 3. 2x(2x + 5) 4. 5.

Multiplying a Monomial by a Trinomial ** Distribute to EVERY term** Ex1 :

Practice Problems 1. 2.

BONUS!!! Find the AREA of the Rectangle 8x-1 4x

Multiplying Binomials – 2 methods Packet – pg 10!

Binomials by Binomials Ex: Box Method: 6h -7 2h 3

Ex. 2 9a -8 7a 4

3. 4. (3x – 5)(2x + 7) (3x + 4)(2x +5)

Multiplying a Binomial by a Trinomial Ex:

Bonus: Find the area of the shaded region: