ALL ALGEBRA FORMULAS
👉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’.
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
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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