 Hamilton (18??) proved that if the coefficients mutually commute then
the standard polynomial equation
has at most n distinct solutions (also commute with coefficients)

 Niven (1941) proved that a monic standard polynomial always has a root.

 Brand (1942) proved De Moivre's formula and used it to find nth roots of
a quaternion.

 Eilenberg and Niven (1944) proved that a generalized polynomial
with unique highest degree term always has a root.

 Kuiper and Scheelbeek (1959) gave another proof of Hamilton's result on
existence of root when coefficients commute

 Gordon and Motzkin (1965) proved that a monic standard polynomial
of degree n greater than or equal to 1 has either infinite or at most
n distinct roots.

 Beck (1979) gave another proof of Gordon and Motzkin's result on number of
roots of a monic standard polynomial

 Bray and Whaples (1983) gave another proof of Gordon and Motzkin's result
on number of roots of a monic standard polynomial

 Zhang and Mu (1994) obtained some roots of a standard quadratic
polynomial by solving a real linear system.

 Heidrich and Jank (1996) showed indirectly that quadratic equation has one,
two or infinite solutions.

 Porter (1997) solved linear polynomial explicitly.
He also derived formula for finding second solution of a quadratic
equation provided one solution is known.

 Cho (1998) reproved De Moivre's formula for finding nth roots of
a quaternion.

 Huang and So (2002) derived explicit formulas for the roots of
a standard quadratic polynomial.

 AuYeung (2000) derived alternative explicit formulas for the roots of
a standard quadratic polynomial.
