The expression $ax^{2} + bx + c$ (where $a, b,$ and $c$ are real numbers) has the same sign as that of $a$ for all $x \in \mathbb{R}$ if:

  • A
    $b^{2} - 4ac > 0$
  • B
    $b^{2} - 4ac \neq 0$
  • C
    $b^{2} - 4ac < 0$
  • D
    $b$ and $c$ have the same sign as that of $a$

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