9
QuizMultiple Choice

Quadratic Equations and their Related Functions

Question 9 • 26MATH_Recovery_Alg1B22

Graph the quadratic function y = 2x2 − 6x − 140. What are the solutions of the quadratic equation 0 = 2x2 − 6x − 140?

Answer
A
−7 and 10
B
7 and 10
C
−2 and 70
D
2 and 70

Explanation

Set the function equal to zero and factor: 0 = 2x² − 6x − 140 = 2(x² − 3x − 70) = 2(x − 10)(x + 7). The solutions are x = 10 and x = −7, where the graph crosses the x-axis. This matches choice A, −7 and 10.

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