Evaluate the Discriminant for the Equation $$( x - 1 ) ( 3 x - 11 )$$

Multiple Choice

Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are
rational, irrational, or nonreal complex.
- $$( x - 1 ) ( 3 x - 11 )$$

A) $3 x ^ { 2 } + 11 x - 14$
B) $x ^ { 2 } - 14 x - 14$
C) $3 x ^ { 2 } - 15 x + 11$
D) $3 x ^ { 2 } - 14 x + 11$