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Genius Maker - School software - Maths software

POLYNOMIAL EXPANSION

(PASCAL'S TRIANGLE)

Genius Maker - School Software

 

Polynomial Expansion Software Features:

 

The Polynomial Expansion is a mathematics software for finding out the expansion coefficients for each term in the expansion of (a+b)n for any user defined value of " n ". In other words, this software can be used as a tool to find out the values in any row of the Pascal's triangle.

Polynomial expansion - Pascal Triangle - software interface

 

How to start with Polynomial Expansion software ?

EXAMPLE -1:

EXAMPLE -2:

EXAMPLE -3:

What is the expansion coefficient of term  a21 b in the expansion of (a+b)29  ? 

 

What is Pascal's Triangle ?

The Pascal Triangle is a triangle of numbers arranged in such a way that the rows of the triangle are the expansion coefficients of (a+b)n

The first row is the expansion coefficient of (a+b)n with n = 0. 

The second row is the expansion coefficient of (a+b)n with n = 1. 

The third row is the expansion coefficient of (a+b)n with n = 2. 

..... and so on.

The numbers constructed are arranged as shown below, which is Pascal's triangle.

1

1        1

1        2        1

1        3        3        1

1        4        6        4        1

1        5        10        10        5        1

1        6        15        20        15        6        1

1        7        21        35        35        21        7        1

1        8        28        56        70        56        28        8        1

1        9        36        84        126        126        84        36        9        1

1        10        45        120        210        252        210        120        45        10        1

1        11        55        165        330        462        462        330        165        55        11        1


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Who is using Genius Maker software ?

  • Genius Maker software is used by high school and college entering students, who prepares for SSLC Examination, Plus 2 examination, Pre-degree examination etc.

  • This software is used by students studying  CBSE syllabus, ICSE syllabus and state board syllabus in India and equivalent syllabus in many other countries.

  • It is used by those who prepares for IIT-JEE and All India Engineering Entrance Examination (AIEEE).

  • It is used by teachers / parents for making model sample question papers in Mathematics, Physics and Chemistry for students preparing for SSLC and Plus 2 examinations in CBSE or ICSE or state board.

  • Teachers are using this as an aid for the preparation of sample questions in their course study materials.

  • It is an aid for all students preparing for engineering entrance examinations conducted by various states in India as listed below.

  • Arunachal Pradesh Entrance Examination conducted by North-East Regional Institute of Science and Technology (NERIST).

  • Andhra Pradesh Engineering, Agricultural & Medical Common Entrance Test (EAMCET).

  • Joint Admission Test (JAT) conducted by the Director of technical education, Assam.

  • Bihar Combined Entrance Competitive Examination (BCECE).

  • Common Entrance Test (CET), conducted by Punjab University.

  • Combined Entrance Examination (CEE) conducted by Delhi University.

  • Common Engineering Entrance Test (CEET) conducted by National Institute of Technology, Kurukshetra (Haryana).

  • Combined Pre-Entrance Test (CPET) conducted by National Institute of Technology, Hamirpur (Himachal Pradesh).

  • State Level Entrance Test (SLET) in Jammu Kashmir.

  • Karnataka State Level Common Entrance Test (CET)

  • Common Entrance Examination (CEE) conducted by Controller of Entrance Examination, Kerala.

  • Pre-Engineering Test (PET) conducted by Madhya Pradesh Professional Examination Board, Bhopal.

  • Joint Entrance Examination (JEE) conducted by the Regional Engineering college, Rourkela (Orissa).

  • Punjab Combined Entrance Test (CET) conducted by Punjab Technical University, Jalandhar.

  • Rajasthan Pre-Engineering Test (RPET) conducted by Malaviya National Institute of Technology, Jaipur (Rajasthan).

  • Uttar Pradesh State Engineering Admission Test (UPSEAT).

  • Tamil Nadu Professional Courses Entrance Examinations (TNPCEE) conducted by Anna University, Madras. (Under scrutiny).

  • Joint Entrance Examination (JEE) conducted by West Bengal Board of Examination.


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