exam Maths Puzzle Numerical Ability

calculate the value of the discriminant of x^ + 2x +1 = 0 by examining the sign of the discriminant in part a, how many x- intercepts would the graph of y + x^ + 2x +1 have ? Why?

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PLEASE HELP ME WITH THIS PROBLEM:
FIND THE HORIZONTAL ASYMPTOTE OF THE RATIONAL FUNCTION f(x)= 8x-12 over 4x-2 i factored this quadratic expression completely, and came up with the answer and roots of the expression. My answer is 6(x^2 + 5), root of 20. The problem is 6x2 - 42x + 72. Please tell me this is correct?