If you want to improve your class 9 Math, Polynomials concepts, then it is super important for you to learn and understand all the formulas.

By using these formulas you will learn about the Polynomials.

With the help of these formulas, you can revise the entire chapter easily.

## Polynomials Class 9 Maths Formulas

- "A polynomial is an algebraic expression in which the variables have non-negative integral exponents only" Ex $-3 x^{2}+4 y+2, \quad-5 x^{3}+3 x^{2}+4 x+2$
- A polynomial that contains only one variable is known as polynomial in one variable. Example $-7+3 x^{-3}$
- A polynomial that contains two variables is known as polynomial in two variables. Example- $8 x^{2}-6 x y^{2}$
- A polynomial that contains three variables is known as Polynomial in three variables. $\mathbf{E x}-3 x^{2}-4 y+z$

**Degree of polvnomials**- The highest exponent of the variable in a polynomial is called the degree of polynomial.

**Zero Polynomial**: It is a polynomial of degree zero. Example $\rightarrow 3 \rightarrow 3 x^{\circ}$

**Linear Polynomial**: It is a polynomial of degree one. It is of the form $a x+b$, where $a \& b$ are real numbers with $a \neq 0 . \quad$ Example $-2 x+3$

**Quadratic Polynomial**: It is a polynomial of degree two. It is of the form $a x^{2}+b x+c$, where $a, b, c$ are real numbers with $a \neq 0$. Example- $5 x^{2}+6 x-9$

**Cubic polynomial**: It is a polynomial of degree three. It is of the form $a x^{3}+b x^{2}+c x+d$, where $a, b, c \& d$ are real numbers with $a \neq 0$. Example $-4 y^{3}+9 x$

Remainder Theorem- It states that if a polynomial $P(x)$ is divided by linear polynomial $q(x)$, then the degree of the remainder must be zero i.e. it has to be a constant which may be zero.

Example -

$$ 3 x^{2}+x-1=(x+1) \times(3 x-2)+1 $$ Dividend $=$ Divisor $\times$ Quotient $+$ Remainder

Factor Theorem- Factor theorem determines whether a polynomial $q(x)$ is a factor of a polynomial $q(x)$ or not without performing the actual division.

Also Read,

NCERT Class 9 Maths Book in PDF Download

NCERT Class 9 Science Book in PDF Download

NCERT Class 9 Science Exemplar in PDF Download

NCERT Class 9 Maths Exemplar in PDF Download

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