Polynomial: Polynomial with variable x, is denoted by p(x) is
expression of the type
are the coeeficients, and x
is variable. is called constant term.
The polynomial has terms.
Monomials: A polynomial with one term is
Binomial: A polynomial with two terms is
Trinomial: A polynomial with terms is called trinomial.
Constant polynomial: Aconstant polynomial isa
polynomial which is free of variable,and just contains a constant term
is the highest power of variable in the expression of polynomial p(x).
The Polynomial has degree .
Cubic polynomial: A polynomial with degree is called cubic polynomial.
polynomial with degree is called Quadratic polynomial.
Linearpolynomial : A polynomial with degree is called Linear polynomial.
Degree of constant polynomial is zero.
Value of polynomial:
Value obtained after replacing x by a real number k
in the expression of is called value of polynomial at .
We get p(4) =
We say is the value of polynomial at .
polynomial:The values of x, at which the polynomial p(x) is equal to 0 is
called as zeroes of polynomial.
So is called zero of the given polynomial.
When polynomial is divided by polynomial , then the remainder will be
For polynomial , if , then is factor of
so(x-3) is factor of .