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POLYNOMIALS - Coggle Diagram
POLYNOMIALS
What Is Polynomials?
An algebraic expression is a collection of variables and real numbers. The most common type pf 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 zillion terms.
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Sum Of The Coefficients
Sum of the coefficient of a polynomial is found by in order to find the sum of the coefficients of a polynomial we substitute 1 for each variable.
Example
Sum of the coefficients of P(x) is= P(1)
Sum of the coefficients of P(x+7)= P(8)
Sum of the coefficients of Q(x²+5x-1)= P(5)
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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Zero Polynomial
If P(x)=0, it is called zero polynomial. Degree of zero polynomial is undetermined.
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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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