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Question

A polynomial of degree 5 in x has at most
  1. 6 terms
  2. 5 terms
  3. 10 terms
  4. 4 terms

A
6 terms
B
4 terms
C
10 terms
D
5 terms
Solution
Verified by Toppr

A polynomial of degree 5 is
a0x5+a1x4+a2x3+a3x2+a4x+a5, where a0,a1,a2,a3,a4, a5 are real constant.
Clearly maximum term in this polynomial are 6 and also minimum term can be one a0x5.
Therefore, a polynomial of degree 5 in x has at most 6 terms.

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