Factorisation

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

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Error: Mind Map file Factorisation of Polynomials.mm not found

Textbook

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Additional Information

Useful websites

1. Maths is Fun. This website contains good worksheets for factorisation.
2. Wolfram Mathworld. This website contains good simulations for math identities.

Reference Books

NCERT Books

1. Algebraic expressions and identities
2. Factorisation

Teaching Outlines

Concept #1 Monomial expressions

Learning objectives

To introduce expressions and the need and method of splitting

Activity No #

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Activity No #2 Demonstrate Binomial Cube

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Activity No #1 Geogebra

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This is a Geogebra screenshot for identity.

This is a classroom demonstration of binomial cube. Show the children before you start the cubic identity.

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1. = Hints for difficult problems =

Question : If x= and y= find

Solution :

Analysing the given condition

Step 1 : = ()() => Using the formula : = ( )()

step 2 : = ( + )(-) => substitute the value of x and y

Step 3 : = x => take the L.C.M of the denominator , simplyfy using concept of addition and substaction of fraction

Step 4: = x simply the above using basic concepts of addition and substraction

Step 5 : = x

Step 6 := x => take common term 2 ( H.C.F)

Step 7 : = x

Step 8 : =

====If x+y=a and xy=b then prove that (1+)+(1+)

Steps for solution

step 1:  * Understanding the  problem first.

* Recalling the indentities

step 2 : * consider the condition and squaring on both side * simplify to get the value

step 3: * consider LHS * multiply the expression * substitute the value * simlpify the equqtion

solution for the problem

consider x+y=a = substitute x+y =a and xy=b

then we get 
                   ------->(1)

consider xy=b squaring on both side then we get =------->(2)

consider LHS= =(1+)+(1+) =1+ = 1+ from eqn 1 & 2 = =

       LHS = RHS=============

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