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The graph of a polynomial meets the -axis at exactly 4 distinct points.
What is the smallest possible degree of this polynomial, and why?

Class 10Graphical Meaning of ZeroesAlgebra — Polynomials
  • A5
  • B4
  • C3
  • D8

Step-by-Step Solution

Each -axis intersection is a zero. Four distinct zeroes require degree at least 4, since a degree-n polynomial has at most n zeroes.
Answer: B) 4

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