Finding the roots of higher degree polynomials is much more difficult than finding the roots of a quadratic function. A few tools do make it easier, though. 1) If r is a root of a polynomial function, then (x - r) is a factor of the polynomial. 2) Any polynomial with real coefficients can be written as the product of linear factors (of the form (x - r) ) and quadratic factors which are irreducible over the real numbers. A quadratic factor that is irreducible over the reals is a quadratic function with no real solutions; that is, b 2 -4ac

Question

Finding the roots of higher degree polynomials is much more difficult than finding the roots of a quadratic function. A few tools do make it easier, though. 1) If r is a root of a polynomial function, then (x - r) is a factor of the polynomial. 2) Any polynomial with real coefficients can be written as the product of linear factors (of the form (x - r) ) and quadratic factors which are irreducible over the real numbers. A quadratic factor that is irreducible over the reals is a quadratic function with no real solutions; that is, b 2 -4ac < 0 . All factors, linear and quadratic, will have real

amoodarya · Answer

now 
whats the question ?

amoodarya · Answer

I make an example :
x^3+3x^2-2x-2
if check +-2,+-1
you will see +1 is a root 
so divide by (x-1) then you will have a quadratic 
and a quadratic solved by discriminant 
x^3+3x^2-2x-2 =(x-1) (x^2+4x+2)