Q−3: [5×4 marks]
a. Find a, b if a+2b=107 mod 9 and 2a+b=-55 mod 7.
b. Write the prime factorization of 229320 and 49140, hence find
GCD and LCM.
c. Convert the following number (1303)4 to base 5.
d. Using the Prime Factorization technique determine whether 173 is
a prime.
e. Use the cipher: f(x)=(x+7) mod 26 to decrypt “THAO ALZA”.
roblem 3 Find the solutions to the general cubic a x^3 +b x^2+c
x +d=0 and the solutions to the general quartic a x^4+b x^3+c x^2+d
x+e=0. Remember to put a space between your letters. The solutions
to the general quartic goes on for two pages it is a good idea to
maximize your page to see it. It is a theorem in modern abstract
algebra that there is no solution to the general quintic in terms
of radicals.
Please...
Problem 3 Find the solutions to the general cubic a x^3 +b x^2+c
x +d=0 and the solutions to the general quartic a x^4+b x^3+c x^2+d
x+e=0. Remember to put a space between your letters. The solutions
to the general quartic goes on for two pages it is a good idea to
maximize your page to see it. It is a theorem in modern abstract
algebra that there is no solution to the general quintic in terms
of radicals.