Any rational number can be used in the remainder theorem: 4 does not have a special role.
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You cannot solve a theorem: you can prove the theorem or you can solve a question based on the remainder theorem.
The remainder is not zero so y-3 is not a factor of y^4+2y^2-4
euclid
F(a)
To find the greatest number that divides 319, 572, and 1329 while leaving remainders of 4, 5, and 6 respectively, we need to use the Chinese Remainder Theorem. First, find the least common multiple of the three given divisors (4, 5, and 6), which is 60. Then, apply the Chinese Remainder Theorem to find the number that satisfies the given conditions. The solution will be the number that is congruent to 4 modulo 4, 5 modulo 5, and 6 modulo 6.