# NCERT Class 9 Maths Formula CBSE Board Sample Problems Part 2

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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 |

Zeroâ€™s or roots of the polynomial | It is a solution to the polynomial equation S(x) =0 i.e. a number â€śaâ€ť 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 Theoremâ€™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) |

Factorâ€™s Theoremâ€™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) |