# ALL ALGEBRA Maths Formulas and theorems

## ALL ALGEBRA FORMULAS

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**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), 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 n

^{th}Power, while n^{th}Power of any positive rational number is not equal to ‘a’.^{}

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:

### Degree of Polynomial:

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

### 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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