Calendar: 1898-1899 Page 753

FACULTY OF SCIENCE cxx1 by dividing the sum of the two numbers by one of them and the difference by the other β κ Simplify 6- -cc- -aa- -b Τ 17 Demonstrate the Remainder Theorem If denote p0xn -f pxxn-1 Ρ2χη ---- Pn- pn prove that the remainder when is divided by x-b is equal to A6 χ χ χ χ If αλχ C1Z and a2x b2y c2z ex- press the ratios χ ζ in symmetrical form Apply your result to eliminate χ from bxx 01 and a2x2 -f -f Solve the equations 2x hx 2x 10 ii זג χ 20 χ-l χ- iii 27 עf 14 iv 9x3 2Sx 14 Factorize as far as you can 2f &f y2 ii ax by czf bz cyf -f cx azf ay bxf iii -y2 y2 -1 Explain the meaning of the following words and phrases rafco proportion duplicate ratio continued pro- portion If a2 μ e4 fc c2 rf2 are in Ge0 metrical Progression prove that are in continued proportion The cost per hour of steamer is equal to constant together with quantity that varies as the cube of the speed