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Mathematics

For the polynomial x5 - x4 + x3 - 8x2 + 6x + 15, the maximum number of linear factors is :

  1. 9

  2. 6

  3. 7

  4. 5

Factorisation

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Answer

Maximum number of linear factors in a polynomial depends upon the highest power of variable.

Maximum number of linear factors in x5 - x4 + x3 - 8x2 + 6x + 15 = 5.

Hence, Option 4 is the correct option.

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