For which value of m does the graph of y is equal to 18 x squared plus m x plus 2 have exactly one x -intercept?

Exactly one x-intercept means the quadratic has one repeated real root, so its discriminant must be zero. For 18x² + mx + 2, the discriminant is m² − 4(18)(2) = m² − 144. Setting it equal to zero gives m = ±12; among the choices, 12 is listed, so the answer is 12.

AI-written and checked against the verified answer.