Jørgen Cherly, Luis Gallardo, Leonid Vaserstein, Ethel Wheland, SOLVING QUADRATIC EQUATIONS OVER POLYNOMIAL RINGS OF CHARACTERISTIC TWO, Publicacions Matemàtiques, Vol. 42, No. 1 (1998), pp. 131-142 ...

K. S. Williams, Quadratic Polynomials with the Same Residues, The American Mathematical Monthly, Vol. 75, No. 9 (Nov., 1968), pp. 969-973 ...

1. In the standard form of quadratic polynomial, ax2 + bx + c, a, b and c are a) All are Polynomials. b) All are rational numbers. c) ‘a’ is a non zero real number and b and c are any Polynomials.

The discriminant for a quadratic equation a x 2 + b x + c = 0 is b 2 4 a c. And the types of root the equation has can be worked out as follows: ...