NCERT Class 9 Maths Formula CBSE Board Sample Problems Part 2
Doorsteptutor material for CBSE is prepared by world's top subject experts: fully solved questions with step-by-step explanation- practice your way to success.
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) |