The expanded form of (3x – 5)³ is

If (x + 1) and (x – 1) are factors of p (x) = ax³ + x² – 2x + b, find the values of a and b.

If (x + 2) is a factor of p (x) = ax³ + bx² + x – 6 and p(x) when divided by (x – 2) leaves a remainder 4, prove that a = 0 and b = 2.

If a + b + c = 5 and ab + bc + ca = 10, prove that a³ + b³ + c³ – 3abc = – 25.

If p (x) = 2x³ + ax² + 3x – 5 and q (x) = x³ + x² – 4x + a leave the same remainder when divided by (x – 2), show that