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Two friends in Pune draw the same polynomial. Aarav says it has degree 2; Diya says it cuts the -axis at 3 points.
Can both statements be true at the same time? Choose the correct conclusion.

Class 10Graphical Meaning of ZeroesAlgebra — Polynomials
  • ANo — a degree-2 polynomial meets the -axis in at most 2 points
  • BYes — degree 2 can have 3 zeroes
  • CYes — only if it is a parabola
  • DNo — a parabola never meets the -axis

Step-by-Step Solution

A degree-2 polynomial has at most 2 zeroes, so it cannot cut the -axis at 3 points. Both statements cannot hold together.
Answer: A) No — a degree-2 polynomial meets the -axis in at most 2 points

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