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Equations of degree greater than 2

If P(x) is a polynomial, then: 

x = r is a root of P(x) →{
 (x- r) is a factor of P(x)
 x = r is a solution of P(x) = 0

That’s why the solutions of the equation are also called “roots of the equation”.


Then, to solve an equation of degree bigger than two, we have to decompose the polynomial.

 

Example: 

Exercise: Solve the following equations

The solutions are:

a) x =  , ,

b) x = , , ,

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