Integral Root Theorem

Rational Root Theorem

If x^(2) - px + q = 0 has equal integral roots, then

If {.} represents fractional part function and {x}+{-x}=x^(2)+x-6, then integral roots are -2 and 3 number of non-integral roots is 2 number of solutions is 4 equation has exactly two integral roots

Integral value(s) of a such that the quadratic equation x^(2)+ax+a+1=0 has integral roots is/are

Sum of integral roots of the equation |x^(2)-x-6|=x+2 is

Consider the equations (x-p)(x-6)+1 = 0 having integral coefficents. If the equation has integral roots, then what values can p have?

The number of integral values of 'a' for which the quadratic equation x^(2)+(a+19)x+19a+1=0 has integral roots,are

Number of integral values of a for which the equation x^(2)-(a+1)x+a-1=0, has integral roots,is equal to -