Arithmetic Course/Polynominal Equation

Polynomial Equation edit

An equation is an expression of one variable such that

 polynomials used to solve the theory of equations.

Solving Polynomial Equation edit

Solving polynomial equations involves finding all the values of variable x that satisfy f(x) = 0.

First Order Equation edit

A first order polynomial equation of one variable x has the general form

Ax + B = 0

Rewrite the equation above

 
 

Second Order Equation edit

A second order polynomial equation of one variable x has the general form

  1.  
  2.  
  3.  

Solving Equation edit

Method 1 edit

 

 
 

Where

 
 
 

Depending on the value of   the equation will have the following root

One Real Root

 

Two Real Roots

 
 

Two Complex Roots

 
 

Method 2 edit

 

 
 
 

Method 3 edit