English

The graph of a quadratic polynomial intersects the x-axis at the most at ______ points.

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Question

The graph of a quadratic polynomial intersects the x-axis at the most at ______ points.

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Solution

The graph of a quadratic polynomial intersects the x-axis at the most at 2 points.

Explanation:

A quadratic polynomial is degree 2, so its graph is a parabola that can meet the x‑axis in two distinct points, one repeated (tangent) point, or not at all, hence at most two x‑intercepts. 

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Chapter 2: Polynomials - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [Page 2.51]

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R.D. Sharma Mathematics [English] Class 10
Chapter 2 Polynomials
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 6. | Page 2.51
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