ashokkumar
Mr
consider P(x) = ax^4 + bx^3 + cx^2 + dx + e, where a,b,c,d and e are integers.
Suppose w is an integer such that P(w) = 0.
(i) Prove that w divides e.
(ii) Prove that the polynomial Q(x) = 5x^4 + 2x^3 -3x^2 -x + 3 does not have an integer root.
Suppose w is an integer such that P(w) = 0.
(i) Prove that w divides e.
(ii) Prove that the polynomial Q(x) = 5x^4 + 2x^3 -3x^2 -x + 3 does not have an integer root.