# QUADRATIC POLYNOMIAL

quadratic polynomial

A polynomial of degree 2 is known as quadratic polynomial.

for example ax^{2}+bx+c where a,b,c are real number and x is variable ,a never be zero.

Example

3x^{2}-4x+5

x^{2}+16

x^{2}-√5x+5

√5x^{2}-4x-√7

p(x)=ax^{2}+bx+c is quadratic polynomial and x is real number likes 1,2,33 then put the value od x in quadratic polynomial ax^{2}+bx+c
and we get the value of quadratic polynomial p(x)

for example

p(x)=ax^{2}+bx+c

if x=2,a=3,b=4,c=2
then value of quadratic polynomial is

p(x)=3*2^{2}+4*2+2

p(2)=22

## QUADRATIC EQUATION

if p(x) is quadratic polynomial and p(x)=0 quadratic polynomial equal to zero then this type of equation is called as quadratic equation.
we write quadratic equation like ax^{2}+bx+c=0 where a,b,c are real number and a not equal to zero.

if a is zero then equation is not quadratic equation.