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# ALL ALGEBRA Maths Formulas and theorems

## ALL ALGEBRA FORMULAS  ### 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 nth Power, while nth Power of any positive rational number is not equal to ‘a’.

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

### 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.

### 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.

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

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