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Polynomial, Factorization of Polynomials - Coggle Diagram
Polynomial
INTRODUCTION
An algebraic expression is a collection of variables and real numbers. The most common type of
algebraic expression is the polynomial.
The "poly" in "polynomial" means "many". The term "polynomial" refers to sums of many terms, but the
term is used to refer to anything from one term to the sum of a zillion terms.
Basic Polynomial
P(x)= 
is given
are called terms of the polynomial.
are called coefficients of the polynomial.
The highest power in a polynomial is called degree of polynomial and it is shown as d[p(x)] or deg[p(x)]
The coefficient of term with the highest degree of x is called leading coefficients of the polynomial.
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Sum of the coefficients
Sum of the coefficients of a polynomial is found by In order to find the sum of the coefficients of a
polynomial we substitute 1 for each variable.
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The constant term
The constant term of a polynomial is found by In order to find the constant term of a polynomial
we substitute zero for each variable.
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Constant Polynomial
For a0 ∈ R and a0≠ , if P(x)=a0 then P(x) is said to be a polynomial. The degree of a constant polynomial is zero
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Zero Polynomial
If P(x)=0, it is called zero polynomial. Degree of zero polynomial is undetermined.
Equal Polynomial
Let P(x) and Q(x) be two polynomials. If P(x) = Q(x) then P(x) and Q(x) are called equal polynomials.
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Division on Polynomials
For the polynomials P(x), Q(x) ≠0 and deg[P(X)]≥ deg[Q(x)]≥1, the division of p(x) with q(x) is shown in the following way
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