5
QuizMultiple Choice

The Quadratic Formula

Question 5 • AA - F26 Advanced Algebra

If x = –3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?

Answer
A
The discriminant is negative.
B
The discriminant is –3.
C
The discriminant is 0.
D
The discriminant is positive.

Explanation

The x-intercepts of a quadratic are its real roots. If x = –3 is the only x-intercept, then the quadratic has one repeated real root. A quadratic has a repeated real root when its discriminant, b² – 4ac, equals 0. Therefore, the discriminant is 0.

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