Algebra

This category will cover all algebra segments including Polynomials, inequality, Quadratic etc. This will include Theory, problems, solutions, Tests and exercise

Principle of Inclusion and Exclusion – with Examples

Principle of Inclusion and Exclusion (PIE) To understand inclusion exclusion principle, lets take an example Suppose there is a class of students who speak 3 languages. English, Spanish and French.  Each student speaks at least one of the languages. Let E be the set of the students speaking English, set S stands for Spanish speaking …

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Arithmetic Geometric Series and other Summation Techniques

Do you want to know what is Arithmetic Geometric Series ? Or how to find its sum? Or what is difference method and other summation techniques? Let’s begin with AGP. If are new to sequences and series, you must begin from Arithmetic Progression     Arithmetic  Geometric Series   If is an A.P. and is …

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Relation between Arithmetic, Geometric and Harmonic Progressions

Do you want to know how Arithmetic Geometric and Harmonic progressions are linked to Each other? Well there are many ways in which they are related. Let’s know all of them.   If you Don’t Know about Arithmetic Geometric and Harmonic Progression you can Read here Harmonic Progression          (1) If A, …

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Fundamental Elements of Number System, Divisibility rules

Do you want to know what are fundamental elements of number system? How to represent Different elements of number system? What are divisibility rules for integers? what is LCM and HCF ? Read to know it all.   Humans used Stones to count things for thousands of years, then managing the large piles of stones …

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Binomial Theorem Expansion : Formula and examples

You might have used the formula , but do you know what would be the formula for or . Binomial theorem expansion formula explains this for all real n.  Let’s understand some basic terms first. What is Binomial Expression A binomial expression is an algebraic expression consisting of two terms with +or –  sign between …

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nature of roots

Nature of the roots of a Quadratic equation with examples

Are you looking for conditions, when the nature of roots of quadratic equation are real, imaginary, rational, irrational, integer etc. Then this post contain in depth analysis on nature of roots. Nature of the Roots of quadratic equation For some real constants a,b,c. Suppose we have a quadratic equation The first thing we need to …

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Partial Fraction decomposition Method: Rules, Practice examples

Are you looking for partial fraction decomposition rules or how to work this out in case of any rational function. Partial fraction decomposition rules are very useful for integration. I haven’t covered anything related to integration here, but for the students who are willing to find integral of rational function. This post is very useful …

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