This paper reports a discovery that there exist the extended standard forms for polynomialequations, which are composed of three items, contains only one parameter and relates tointeger or fractional sequences. Using the parameter and the sequences, a series can beconstructed of the solution of the equations. If the series converges, it is a root of the equations. For the extended standard form is always possible for the equations of degree not more than five, this result provides an effective method for the solution of general polynomial equations under and including five degrees without the need of radicals calculating. This technique can also be extended to polynomial equations with two or more coefficients or parameters, which would be more complex or difficult and will be a big challenge if it be used to solve polynomial equations with higher degrees. At the same time, our discovery also provides a technique to produce an unlimited number of integer and/or fractional sequences, real or complex. This will enrich related researches.