......
state this
q^2+1
-
q²+1 has no real, rational factors
q²+1 = q² - (-1) = q² - i² = (q+i)(q-i)
keywords: prime,common,multiplying,Factor,look,factor,Check,is,by,polynomial,completely,Remember,for,first,If,to,Factor completely. Remember to look first for a common factor. Check by multiplying. If a polynomial is prime