8
QuizMultiple Choice

Modeling with Quadratic Equations

Question 8 • Common Core Algebra I 2014 - MA3109 B-CR

A quadratic equation has a discriminant of 12. Which could be the equation?

Answer
A
0 = –x2 + 8x + 2
B
0 = 2x2 + 6x + 3
C
0 = –x2 + 4x + 1
D
0 = 4x2 + 2x + 1

Explanation

For a quadratic equation ax² + bx + c = 0, the discriminant is b² − 4ac. In choice B, a = 2, b = 6, and c = 3, so the discriminant is 6² − 4(2)(3) = 36 − 24 = 12. Therefore, the equation 0 = 2x² + 6x + 3 could have a discriminant of 12.

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