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bob bundy

Thanks a lot for all the help .

**awholenumber**- Replies: 2

Prime factorization

LCM

GCF

LCM

1.

Find the prime factorization of each

number in the group.

2.

Make a list of ALL factors, raised

to the HIGHEST power that appears in

any factorization.

3.

Multiply out.

GCF

1.

Find the prime factorization of each

number in the group.

2.

Make a list of COMMON factors,

raised to the LOWEST power that

appears in any factorization.

3.

Multiply out

Thanks a lot admins and mods , That was quick :-)

OK , i simply want my name changed to "awholenumber" .

**awholenumber**- Replies: 6

I cannot PM the admin for some reason , can someone help me ?

Thanks bob bundy

Yes , sorry about that , i read about it in another thread .It is OK , i can wait

Peace

iamaditya wrote:

Hmm I have found a solution for your problem, tonyjaa. You can request some active moderators like bob or ganesh to send a PM to MathsIsFun. He is now the only administrator who can do that. Tell them that you want to change your username from tonyjaa to ---. MathsIsFun does not come online nowadays since he is busy with his site. But he can come if requested and change your usename. Hope it helps you.

I hope they are reading this and i hope they can do something about it when they can find some free time

Peace -

Monox D. I-Fly wrote:

He has passed away some days ago.

Oh sorry to hear that

"Indeed we belong to Allah, and indeed to Him we will return."

What happened to bobbym?

Sorry english is not my first language

**awholenumber**- Replies: 9

is it possible to change my username to something more appropriate for my math studies ?

**awholenumber**- Replies: 9

I like to make up themes before i study , that is why i asked . i found a better username for my account . so is it possible to change the username ?

Thanks for the reply iamaditya .I just went through all those ncert books from grade 6 to grade 12 , which is why updated the first post .Its missing notes on Rational equation and Radical equations which is a bit weird .

I still managed to learn a bit about Rational equations from other books .

But i could not get a good book or website to learn about Radical equations . Do you know any ?

There are these Algebraic equations involving fractions , I am looking for some worked out examples , Not sure where to find such problems

I am looking for Books or Websites with worked out examples , Not sure which book to look at ?

Please help

**awholenumber**- Replies: 7

http://ncert.nic.in/textbook/textbook.htm

http://ncert.nic.in/textbook/textbook.htm?femh1=0-14

To factor’ means to break up into multiples.

Factors of natural numbers

The numbers other than 1 whose only factors are 1 and the number itself are called Prime numbers

Numbers having more than two factors are called Composite numbers.

Greatest common factor

The Greatest Common Factor (GCF) of two or more given numbers is the greatest of their common factors

Lowest Common Multiple

The Lowest Common Multiple (LCM) of two or more given numbers is the lowest (or smallest or least) of their common multiples.

You will remember what you learnt about factors in Class VI. Let us take a natural number,

say 30, and write it as a product of other natural numbers, say

30 = 2 × 15

= 3 × 10 = 5 × 6

Thus, 1, 2, 3, 5, 6, 10, 15 and 30 are the factors of 30.

Of these, 2, 3 and 5 are the prime factors of 30 (Why?)

A number written as a product of prime factors is said to

be in the prime factor form; for example, 30 written as

2 × 3 × 5 is in the prime factor form.

The prime factor form of 70 is 2 × 5 × 7.

The prime factor form of 90 is 2 × 3 × 3 × 5, and so on.

Similarly, we can express algebraic expressions as products of their factors. This is

what we shall learn to do in this chapter.

Simplifying algebraic expressions

Factors of algebraic expressions

We have seen in Class VII that in algebraic expressions, terms are formed as products of

factors. For example, in the algebraic expression 5xy + 3x the term 5xy has been formed

by the factors 5, x and y, i.e.,

5xy = 5 * x * y

Observe that the factors 5, x and y of 5xy cannot further

be expressed as a product of factors. We may say that 5,

x and y are ‘prime’ factors of 5xy. In algebraic expressions,

we use the word ‘irreducible’ in place of ‘prime’. We say that

5 × x × y is the irreducible form of 5xy. Note 5 × (xy) is not

an irreducible form of 5xy, since the factor xy can be further

expressed as a product of x and y, i.e., xy = x × y.

What is Factorisation?

When we factorise an algebraic expression, we write it as a product of factors. These

factors may be numbers, algebraic variables or algebraic expressions.

Expressions like 3xy, 5x2y , 2x (y + 2), 5 (y + 1) (x + 2) are already in factor form.

Their factors can be just read off from them, as we already know.

On the other hand consider expressions like 2x + 4, 3x + 3y, x2 + 5x, x2 + 5x + 6.

It is not obvious what their factors are. We need to develop systematic methods to factorise

these expressions, i.e., to find their factors.

Methods of Factoring

Method of common factors

Factorisation by regrouping terms

Factorisation using identities

Factors of the form ( x + a) ( x + b)

Factor by Splitting

Factorise 6x2 + 17x + 5 by splitting the middle term

(By splitting method) : If we can find two numbers p and q such that

p + q = 17 and pq = 6 × 5 = 30, then we can get the factors

So, let us look for the pairs of factors of 30. Some are 1 and 30, 2 and 15, 3 and 10, 5

and 6. Of these pairs, 2 and 15 will give us p + q = 17.

So, 6x2 + 17x + 5 = 6x2 + (2 + 15)x + 5

= 6x2 + 2x + 15x + 5

= 2x(3x + 1) + 5(3x + 1)

= (3x + 1) (2x + 5)

SOLVING EQUATIONS

http://www.sosmath.com/algebra/solve/solve0/solve0.html

https://2012books.lardbucket.org/books/ … g-algebra/

https://2012books.lardbucket.org/pdfs/b … lgebra.pdf

**awholenumber**- Replies: 0

I have been trying to improve these . just making into a list of things i should follow .

Arithmetic

Algebra

Trigonometry

Differentiation

Integration

Differential equation

Arithmetic

https://www.wyzant.com/resources/lessons/math

Lots of factoring examples

http://www.mathhands.com/046/

Trigonometry

Differentiation

Integration

If you do an image search for this , "Eeweb.com maths" . There is a nice list of things

As for differential equations ,

Separation of variables is a technique commonly used to solve first-order ordinary differential equations. It is so-called because we rearrange the equation to be solved such that all terms involving the dependent variable appear on one side of the equation, and all terms involving the independent variable appear on the other. Integration completes the solution. Not all first-order equations can be rearranged in this way so this technique is not always appropriate. Further, it is not always possible to perform the integration even if the variables are separable. In this Section you will learn how to decide whether the method is appropriate, and how to apply it in such cases

http://www.personal.soton.ac.uk/jav/sot … r_odes.pdf

https://www.khanacademy.org/math/calculus-home

https://www.khanacademy.org/math/differential-equations

img tag: off under the sig , i don't think that's going to happen

lol , that is a big picture . i was thinking about some small pics in the sig part

like my avatar for example

**awholenumber**- Replies: 7

you know other than words , some pictures would be a lot more cooler

Thanks again for a really nice explanation bob bundy ,

I have to read this a couple of times and reading a few texts should help me .

Its so nice to finally have a grasp of all the necessary fundamentals before i can delve a bit more deep into this subject

All these information should be very helpful in the future

Thanks

Just a bit of an update , before i go back to the texts ...

If you write a polynomial as the product of two or more polynomials, you have factored the polynomial.

Here is an example:

how do i factor a polynomial ?

can somebody explain this step in detail ?

I don't know much algebra , i am just beginning . Why i am trying to refresh my algebra is that because i found this book called , Practical algebra - A self teaching guide .

I will do one thing , this looks like a right time to go through the whole book .

I will come back and ask more doubts once i finish that book properly

Thanks for the help and explanations

That is a very helpful post bob bundy ,

This part was a bit confusing .

In your other post about primes we looked at lots of number factors.

In your algebra book you are going to look at algebraic factors

I found this somewhere else ,

Factoring and Roots of Polynomials

What is factoring?

If you write a polynomial as the product of two or more polynomials, you have factored the polynomial.

Here is an example:

I am looking for ways to improve these factoring techniques .

I am not sure how to improve this part .