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A polynomial p of degree 5 is graphed. It cuts the -axis at 3 points and does not touch it anywhere else.
What is the maximum number of additional real zeroes it could still have, given its degree?

Class 10Graphical Meaning of ZeroesAlgebra — Polynomials
  • A2
  • B4
  • C1
  • D3

Step-by-Step Solution

Degree 5 allows up to 5 real zeroes. With 3 already shown, at most 5 - 3 = 2 more real zeroes are possible.
Answer: A) 2

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