[PDF] [PDF] Expanding and Factorising - JCU

[PDF] Worksheet 26 Factorizing Algebraic Expressions

Exercises: 1 Factorize the following algebraic expressions: (a) 6x + 24 (b) 8x2 − 4x (c) 6xy + 10x2y The next common factorization that is important is called a perfect square Notice that (x + 5)2 Write the answers to two decimal places

[PDF] Factorising Exercises Question 1 Factorise each of the following

Simplify each of the following, so that your answer is a polynomial written in order of decreasing powers (a) (4x3 + 6x2 + 2x + 4) + (3x3 + 2x2 + 5x + 7) (b) ( 

[PDF] Factorising pdf - Corbettmaths

Read each question carefully before you begin answering it 2 Check your answers seem right 3 Always show your workings Revision for this topic

[PDF] Expanding and Factorising - JCU

Factorising equations • Identity: perfect pairs Answers 2 List all the factors for 120 – 120 = 1 × 120 Expanding and factorising are often used in algebra

[PDF] Factoring and Solving Quadratic Equations Worksheet

Factoring and Solving Quadratic Equations Worksheet Math Tutorial Lab Answers 1 3(x + 12) 2 4x(x + 4) 3 (x - 10)(x - 4) 4 (x + 6)(x - 2) 5 (x + 12)(x - 12)

[PDF] Expand and Factorise - Maths Genie

Answer the questions in the spaces provided – there may be more space than Check your answers if you have time at the end (b) Factorise completely 8x

[PDF] Simplification and Factorisation - Learn

Finally, factorisation, which can be considered as the reverse of the process, is dealt with Answer −2a − 7b HELM (2008): Section 1 3: Simplification and Exercises 1 Simplify, if possible, (a) 5x + 2x + 3x, (b) 3q − 2q + 11q, (c) 7x2 + 

[PDF] Factorisation worksheets grade 6 - Squarespace

The answer key will list the factorization using exponential notation: each main factor is raised to the appropriate effect Example worksheet Note: The maximum  

[PDF] FACTORING POLYNOMIALS

BE SURE YOUR ANSWERS WILL NOT FACTOR FURTHER All answers may be checked by multiplication Page 2 PRACTICE PROBLEMS:

[PDF] Factoring Quadratic Expressions - Kuta Software

Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name___________________________________ Period____ Date________________

[PDF] factorising quadratics worksheet

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Maths Refresher

Expanding and Factorising

Learning intentions ....

•Recap •Expanding equations •Factorising equations •Identity: perfect pairs •Difference of two squares

Expanding and Factorising

Introduction

•Algebra requires you to manipulatealgebraic expressions •We have covered simplifying expressions and solving equations •Now we look at manipulating expressions through expanding and factorising •First, we recap some mathematical ideas that will assist factorisation •Second, we revise the distributive law •Third, you will learn how to expand two or more sets of brackets Recap

Multiples

A multipleis a number that can be

divided into a given number exactly -For example: multiples of 5 are 5, 10, 15,

20, 25...

Recap •Common multiples and the LCM •A common multiple is a multiple in which two or more numbers have in common -For example: 3 and 5 have multiples in common 15, 30, 45... •The lowest common multiple LCM is the lowest multiple that two numbers have in common -For example: 15 is the LCM of 3 and 5 15

3 5

Recap •Factor-a whole number that can be multiplied a certain number of times to reach a given number -3 is factor of 15 and 15 is a multiple of 3 -The other factors are 1and 15 -4 is a factor of 16 and 16 is a multiple of four, other factors -1, 2, 4, 8, 16 Recap •A common factor is a common factor that two or more numbers have in common -3 is a common factor of 12 and 15 -5 is a common factor of 15 and 25 -6 is a common factor of 12 and 18 •The highest common factor -HCF -What is the HCF of 20 and 18? -the factors of 20 (1, 2, 4, 5, 10, 20) and 18 (1, 2,

3, 6, 9, 18)

-the common factors are 1 and 2 and -the HCF is 2 Recap •We could say that a number is a factor of given number if it is a multiple of that number •For example, -9 is a factor of 27 and 27 is a multiple of 9 -7 is a factor of 35 and 35 is a multiple of 7 -14 is a factor of 154 and 154 is a multiple of 14

YouTube clip

multiples Recap •Proper factors -All the factors apart from the number itself -18 (1, 2, 3, 6, 9, 18) 1, 2, 3, 6, 9 are proper factors of 18 •Prime number -Any whole number greater than zero that has exactly two factors -itself and one 2, 3, 5, 7, 11,

13, 17, 19...

•Composite number -Any whole number that has more than two factors -4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20...

Factor tree

•Prime factor -A factor that is also a prime number •Factor tree -A tree that shows the prime factors of a number

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Prime Numbers

Your turn ....

1.Create a factor tree for the numbers 72

2.List all the factors for 120

Answers

2. List all the factors for 120

-120=1×120 -120=૛×૟૙ -120=૜×૝૙ -120=૝×૜૙ -120=૞×૛૝ -120=૟×૛૙ quotesdbs_dbs11.pdfusesText_17