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QuizMultiple Choice

Solving Quadratic Equations: Zero Product Property — Quiz

Question 1 • Algebra I

Which statement describes the graph of f of x is equal to 4 x squared plus 20 x plus 25 ?

Answer
A
The graph intersects the x -axis at 2 comma 0 and 5 comma 0 .
B
The graph intersects the x -axis at negative 0 point 4 comma 0 and 0 point 4 comma 0 .
C
The graph touches the x -axis at negative 2 point 5 comma 0 .
D
The graph does not intersect the x -axis.

Explanation

Factor the quadratic: 4x² + 20x + 25 = (2x + 5)². Setting it equal to zero gives x = −2.5, a repeated root, so the graph touches the x-axis at (−2.5, 0) rather than crossing it. This matches choice B.

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