English: So, R alpha is equal to R or R alpha is equal to C. This is either equal to this or equal to this, but g is irreducible in R x; that means, it cannot have a root; that means, alpha cannot be in R; that means, R alpha is not equal to R, but that means, R alpha is equal to C. But, then degree of the irreducible polynomial of alpha over R is 2, because this is the extension degree right, because this is C. So, degree of the irreducible polynomial of alpha over R is 2, but what is the irreducible polynomial of alpha over R?
Telugu: ఇది దీనికి సమానం లేదా దీనికి సమానం, కానీ R[ x] లో g ఇర్రెడ్యూసిబుల్ ; అంటే, దానికి మూలం ఉండదు; అంటే, ఆల్ఫా, R లో ఉండకూడదు; అంటే, R ఆల్ఫా, Rకి సమానం కాదు, కానీ దీని అర్థం, R ఆల్ఫా= Cకి సమానం.