Answer the following questions related to integral roots of quadratic equations.
a. (a) What is meant by an integral root of a quadratic equation?
b. (b) A quadratic equation ax2+bx+c=0 has product of coefficients ac. Explain how suitable factor pairs of ac can help in finding integral roots of the equation.
c. (c) Determine whether the quadratic equation 2x2−7x+3=0 possesses integral roots. If it does, find them and verify your answer by substitution.