## Polynomials

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*Study Points*

*Study Points*

*. An expression of the form a*

**1**_{0}+ a

_{1}x + a

_{2}x

^{2}+ ----- + a

_{n}x

^{n}where a

_{n}is called a polynomial in variable x of degree n. where; a

_{0},a

_{1}, ----- a

_{n}are real numbers and are called terms/co-efficients of the polynomial and each power of x is a non negative integer.

**. Polynomials in the variable x are denoted by f(x), g(x), h(x) etc.**

*2*e.g. f(x) = a

_{0}+ a

_{1}x + a

_{2}x

^{2}+ ----- + a

_{n}x

^{n}

**. A polynomial p(x) = a (where a is constant) is of degree 0 and is called a constant polynomial.**

*3***. A polynomial p(x) = ax + b is of degree 1 and is called a linear polynomial. e.g. 4x - 3, 5x...**

*4***5**. A polynomial p(x) = ax

^{2}+ bx + c of degree 2 and is called a quadratic polynomial.

e.g. 3x

^{2}-x + 5, 1- x

^{2}...

**. A polynomial p(x) = ax**

*6*^{3}+ bx

^{2}+ cx + d of degree 3 and is called a cubic polynomial.

e.g. √5x

^{3}- 2x

^{2}+ 5x -1...