Calendar: 1848-1849 Page 298

20Γ THE SCHOOL Thou on that day hadst lain peaceful corpse And shared at least thy fathers' common tomb Now far from home and in stranger-land Far from thy sister exiled hast thou died Nor my fond hands love's latest task performed Nor bathed thy corpse-nor from the flaming pyre Bore thy sad relics as beseemed me best Unhappy decked by stranger-hands thou com'st scanty freight and in narrow urn Alas how vain are all mine earlier cares How vain the welcome labours which for thee oft endured for to thy mother's heart Thou couldst not have been dearer than to mine FIRST MATHEMATICAL SCHOLARSHIP -algebra Puove the rule for the division of one polynomial by another Show that the greatest common measure of the remainder and divisor is also the greatest common measure of the divisor and dividend If and β be the roots of the equation x'2 ρ χ -j- ο find -f β α β and a5 -f β5 terms of ρ and Find the roots of the equation ρ x'2 in the form ν Λ ν ί Μΐβ Μ being rational quantities Solve the equations-