[RESOLVED] Polynomial of degree 4.

[eranga262154]

Anyone can help me on this.

A polynomial P(z) of degree 4 with real coefficient has roots z=i, z=i+1 and satisfies P(0) = 2. Find P(z).

I start to work on given conditions, but go through it difficult find more equations. Polynomial standard format I used is,

P(z) = z⁴ + az³ + bz² + cz + d

So d = 2 from third condition. To find all other four coefficient a,b and c, I find only two equations. Can't go further.