ALL ALGEBRA Maths Formulas and theorems












ALL ALGEBRA FORMULAS








๐Ÿ‘‰All Integration Formulas pdf


Factor Theorem:


If (x-a) is the factor of f(x), then f (a) =0


Remainder Theorem:


 If f(x) is divided by (x-a), then Remainder =f (a)

Some special results


will always be completely divisible by ( x-a).
will always be completely divisible by ( x+a), While n is an even number.
will always be completely divisible by ( x+a), While n is an odd number.
will never be completely divisible by (x-a).




SURDS

Let ‘a’ is a rational number. And ‘n’ is a positive integer. Then is called Surds of nth Power, while nth Power of any positive rational number is not equal to ‘a’.

Ex-   is a surd, Since there is no square 11 of any positive rational number.
           
              is not a surd, because of 9 = 32

Note: It is not necessary to have every irrational number a surd.


Rules of Surds:





Pure Surd:


If any monolithic has coefficient 1. Then this called Pure Surd.


Mixed Surd:

If a monolithic has any rational coefficient other than 1, then it’s called Mixed Surd.


Polynomial:


are the positive or negative real number and n is the complete number.




Degree of Polynomial:


The exponent of the term with the largest degree in a polynomial is called the power of that polynomial.
 the term with largest degree x3, so the degree of the polynomial is 3.

Linear Polynomial:


If the maximum power of the variable used in the polynomial is 1, it is called linear polynomial.



Quadratic Polynomial:


If the maximum power of the variable used in the polynomial is 2, it is called Quadratic Polynomial.



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