# NCERT Class 9 Maths Formula CBSE Board Sample Problems Part 2 (For CBSE, ICSE, IAS, NET, NRA 2023)

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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) |