State 'T' for true and 'F' for false and select the correct option.
I. If a quadratic polynomial f(x) is a square of a linear polynomial, then its two zeroes are coincident.
II. If a quadratic polynomial f(x) is not factorisable into linear factors, then it has no real zero.
III. If graph of quadratic polynomial `ax^(2)+bx+c` cuts positive direction of y-axis, then the sign of c is positive.
IV. If fourth degree polynomial is divided by a quadratic polynomial, then the degree of the remainder is 2.

Options

A. `{:(I,II,III,IV),(F,F,T,T):}`
B. `{:(I,II,III,IV),(T,T,T,F):}`
C. `{:(I,II,III,IV),(F,T,T,F):}`
D. `{:(I,II,III,IV),(T,T,T,T):}`