Zero of the zero polynomial is

is a polynomial of degree

One of the zeroes of the polynomial 2x² + 7x – 4 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.