Question 145003
Your polynomial is in the form {{{ax^2+bx+c}}}, where {{{a=4}}}, {{{b=7}}}, and {{{c=4}}}.  The discriminant is the value of the portion of the quadratic formula under the radical.  The quadratic formula is: {{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}, so the discriminant is: {{{b^2-4ac}}}.  Just substitute the values for a, b, and c and do the arithmetic.