# NCERT Class 9 Maths Formula CBSE Board Sample Problems Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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## 2. Polynomial Expressions

A polynomial expression S (x) in one variable x is an algebraic expression in x term as

Where are constant and real numbers and is not equal to zero

### Some Important Point to Note

 S. no Points 1 are called the coefficients for 2 n Is called the degree of the polynomial 3 When all are zero, It Is called zero polynomial 4 A constant polynomial Is the polynomial with zero degree It Is a constant value polynomial 5 A polynomial of one Item Is called monomial, two Items binomial and three Items as trinomial 6 A polynomial of one degree Is called linear polynomial, two degree as quadratic polynomial and degree three as cubic polynomial

### Important Concepts on Polynomial

 Concept Description Zero՚s or roots of the polynomial It is a solution to the polynomial equation S (x) = 0 i.e.. a number “a” is said to be a zero of a polynomial if S (a) = 0.If we draw the graph of S (x) = 0, the values where the curve cuts the X-axis are called Zeros of the polynomial Remainder Theorem՚s If p (x) is an polynomial of degree greater than or equal to 1 and p (x) is divided by the expression (x-a) , then the remainder will be p (a) Factor՚s Theorem՚s If x-a is a factor of polynomial p (x) then p (a) = 0 or if p (a) = 0, x-a is the factor the polynomial p (x)

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