yes, standard form for a polynomial can have more than three forms.
http://www.mathwarehouse.com/dictionary/S-words/definition-of-standard-form-of-a-polynomial.php
your second example, no, that is not standard form.
Can an equation be considered standard form if it has more than 3 terms
for example is this considered standard form?
21x^3+6x^2-43x+20
also can standard form contain fractions?
for example
2x+3+[11/(x-3)]
2 answers
How would I write the second one in standard form then?