First Outer Inner Last “Multiply Using FOIL”

Slides:



Advertisements
Similar presentations
5.5 and 5.6 Multiply Polynomials
Advertisements

Section P4 Polynomials. How We Describe Polynomials.
Do Now 1/31/12 Take out HW from last night. Take out HW from last night. –Text p. 278, #1-13 all, #20 & 21 Copy HW in your planner. Copy HW in your planner.
Polynomials and Factoring
Special Products Section 6.4. Find the product. (x + 2)(x + 2) (x + 3)(x + 3)
5.4 Special Products. The FOIL Method When multiplying 2 binomials, the distributive property can be easily remembered as the FOIL method. F – product.
Multiplying Polynomials
Warm Up Simplify (–2) (x)2 5. –(5y2) x2 –5y2
Special Products of Binomials
Exponents and Polynomials
Section 5.1 Polynomials Addition And Subtraction.
Special Products of Binomials
1 linearf (x) = mx + bone f (x) = ax 2 + bx + c, a  0quadratictwo cubicthreef (x) = ax 3 + bx 2 + cx + d, a  0 Degree Function Equation Common polynomial.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Polynomials and Polynomial Functions Chapter 5.
Chapter 6 – Polynomials and Polynomial Functions
2.3 Add, Subtract, & Multiply Polynomials p. 104 What are the two ways that you can add, subtract or multiply polynomials? Name three special product patterns.
 We use the acronym below to multiply two binomials. F – O – I – L – FIRST OUTSIDE INSIDE LAST.
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?
I can show multiplying polynomials with the FOIL. OBJECTIVE.
Holt McDougal Algebra Multiplying Polynomials 7-8 Multiplying Polynomials Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation.
6.3 Adding, Subtracting, & Multiplying Polynomials p. 338.
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Section 5.4 Multiplying Polynomials.
Multiplication: Special Cases Chapter 4.5. Sum x Difference = Difference of Two Squares (a + b)(a – b) = (a – b)(a + b) =a 2 – b 2.
Do Now 2/24/10 Take out HW from last night. Take out HW from last night. Text p. 565, #4-48 multiples of 4 & # 50 Text p. 565, #4-48 multiples of 4 & #
Warm Up Sept Rewrite using rational exponents: 2. Simplify: 3. Simplify: 4. Simplify: 5. Simplify:
Homework Section 9.1: 1) pg , 19-27, ) WB pg 47 all Section 9.2: 1) pg all 2) WB pg 48 all 3) Worksheet Section 9.3: 1) pg 441.
Warm up. FOIL Definition: Polynomial Special Names.
Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 4 Polynomials.
Multiplying Special Cases
Distributive Property Multiply across Parentheses 3(x + 4) = 3(x) + 3(4) 3x x + 12 Think of it as looking to DISTRIBUTE something DISTRIBUTE Remember.
Do Now 3/12/10 Take out HW from last night. Copy HW in your planner.
Special Products of Binomials
Special Products of Binomials
Section 6.3 Special Factoring. Overview In this section we discuss factoring of special polynomials. Special polynomials have a certain number of terms.
Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 4 Polynomials.
9.2 Multiply Polynomials I can…multiply polynomials
Holt McDougal Algebra Special Products of Binomials Warm Up Simplify (–2) 2 4. (x) 2 5. –(5y 2 ) x2x (m 2 ) 2 m4m4.
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.
5.3 Notes – Add, Subtract, & Multiply Polynomials.
5.3C- Special Patterns for Multiplying Binomials SUM AND DIFFERENCE (a+b)(a-b) = a² - b² (x +2)(x – 2) = x² -4 “O & I” cancel out of FOIL SQUARE OF A BINOMIAL.
Notes Over 10.2 Multiply binomials by using F O I L.
Adding and Subtracting Polynomials
Polynomials and Polynomial Functions
Addition, Subtraction, and Multiplication of Polynomials
I can show multiplying polynomials with the FOIL.
Polynomials and Polynomial Functions
(2x³ – 5x² + x) + (2x² + x³ – 1) Add Polynomials Like Terms
8-4 Special Products of Polynomials
Lesson 9.3 Find Special Products of Polynomials
Warm Up Subtract: Add:.
Notes Over 10.2 Multiply binomials by using F O I L.
Special Products of Polynomials
6.3 Adding, Subtracting, and Multiplying Polynomials
Warm-up: Write in scientific notation: ,490,000
Objective SWBAT use special product patterns to multiply polynomials.
Special Products of Binomials
Graph the system of linear inequalities.
Worksheet Key 2/27/ :04 PM Special Products.
Section P4 Polynomials.
Warm Up Jan. 28th 1. Rewrite using rational exponents: 2. Rewrite in radical form then simplify the radical: 3. Simplify: 4. Simplify: 5. Simplify:
5.3 Add, Subtract, and Multiply Polynomials
SECTION 8-4 – MULTIPLYING SPECIAL CASES
Section 9.7 “Factor Special Products”
Objective SWBAT use special product patterns to multiply polynomials.
Algebra 1 Section 9.5.
Multiplication: Special Cases
Do Now 3/4/19 Take out your HW from last night.
Presentation transcript:

First Outer Inner Last “Multiply Using FOIL” When multiplying a binomial and another polynomial use the method. FOIL First Outer Inner Last

“Multiply Using FOIL” (x – 4) (3x + 2) combine like terms

Section 9.3 “Find Special Products of Polynomials” When squaring binomials, you can use the following patterns to help you. Binomial Square Pattern (addition) (a + b)² a² + 2ab + b² (a + b)(a + b) (x + 5)² x² + 10x + 25 (x + 5)(x + 5)

Section 9.3 “Find Special Products of Polynomials” When squaring binomials, you can use the following patterns below to help you. Binomial Square Pattern (subtraction) (a – b)² a² – 2ab + b² (a – b)(a – b) (2x – 4)² 4x² – 16x + 16 (2x – 4)(2x – 4)

“Using the Binomial Square Patterns and FOIL” combine like terms

“Using the Binomial Square Patterns and FOIL” (5x – 2y)² (5x – 2y) (5x – 2y) square pattern combine like terms

Sum and Difference Pattern (a + b) (a – b) a² – b² (a + b) (a – b) “The difference of two squares” combine like terms

Sum and Difference Pattern (x + 3) (x – 3) x² – 9 combine like terms “The difference of two squares”

Word Problem (2x +20)(2x + 22) 4x² + 40x + 44x + 440 4x² + 84x + 440 You are designing a frame to surround a rectangular picture. The width of the frame around the picture is the same on every side. The dimensions of the picture are shown below 22in. by 20in. Write a polynomial that represents the total area of the picture and the frame. x (2x +20)(2x + 22) 22 in. FOIL 20in x x 4x² + 40x + 44x + 440 4x² + 84x + 440 x

NJASK7 Prep

“Box-and-Whisker Plots” Uses the MEDIAN of a set of data. The “FIVE” points of a box-and-whisker plot (1) Find the SMALLEST number. (2) Find the GREATEST number. (3) Find the MEDIAN of the whole set – SECOND QUARTILE (4) Find the MEDIAN of the numbers below the SECOND QUARTILE - FIRST QUARTILE (5) Find the MEDIAN of the numbers above the SECOND QUARTILE – THIRD QUARTILE

Draw a box-and-whisker plot for the following set of data. 27, 6, 8, 13, 10, 14, 16, 18, 25, 20, 20, 3 3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27 Find the “FIVE” points of a box-and-whisker plot (1) Find the SMALLEST number. (2) Find the GREATEST number. 3 27

Draw a box-and-whisker plot for the following set of data. (3) SECOND QUARTILE- Find the MEDIAN of the whole set – Greatest Smallest 3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27 15 (14 + 16) ÷ 2= 15

Draw a box-and-whisker plot for the following set of data. (4) FIRST QUARTILE – Find the MEDIAN of the numbers below (smaller than) the SECOND QUARTILE Greatest Smallest 3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27 9 15 First quartile Second quartile (8 + 10) ÷ 2= 9

Draw a box-and-whisker plot for the following set of data. (5) THIRD QUARTILE Find the MEDIAN of the numbers above (more than) the SECOND QUARTILE – Greatest Smallest 3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27 20 9 15 First quartile Second quartile Third quartile (20 + 20) ÷ 2= 20

Draw a box-and-whisker plot for the following set of data. Plot the FIVE points on a number line. Draw a box-and-whisker plot for the following set of data. Greatest Smallest 3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27 20 9 15 First quartile Third quartile Second quartile 3 3 9 9 15 15 20 20 27 27 Draw the box-and-whisker plot.

Homework Text p. 572, #4-16 multiples of 4, #24,28,32, 38  Study for quiz Friday sections 9.1 – 9.3 Adding and Subtracting Polynomials Multiplying Polynomials Find Special Products of Polynomials