Calendar: 1891-1892 Page 865

WARNEFORD SCHOLARSHIPS clxxvii Find expressions without brackets equivalent to the following ii iii -c iv a2 2a x2 cfi 2a2 3a a3 If ax2 bx and 0' b'x have common measure involving prove that αΰ' a'b bc' b'e acf a'c Separate into factors ד ii x2 iii χ2 r4 x6 and prove that the product of χ r2 to infinity multiplied by χx2 xz to infinity is x2 xA to infinity State the principles upon which the method of finding the of two algebraical expressions is founded Find the of 2a -7x and r4 r3 I8x2 Solve the equations 2x 3x 7x ii sl bx iii ra by a3 tf eb a2 b'2 Find the square root of ν-β 10 -2 6xA 4x 5x2 and find so that xC 12 r5 54 112 r3 -f ax2 bx may be perfect cube Simplify V3 4-2 V3 V3 χ l-x I- 1-xJ τ 10 Shew how to determine from the values of ρ and whether the roots of x2 px are rea or unreal and real whether rational or irrational positive or negative