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The coefficient of the term independent of x in x 3 + 3 x 2 10 i s

Options

  1. A5 3
  2. B4 5
  3. C6
  4. D1 2

Correct answer

A. 5 3

Step-by-step solution

Given, x 3 + 3 x 2 10 General term, T r + 1 = 10 C r x 3 1 2 10 - r 3 x 2 r ⟹ T r + 1 = 10 C r 1 3 10 - r 2 3 r x 1 2 10 - r - 2 r For the term independent of x , put 1 2 10 - r - 2 r = 0 ⟹ r = 2 ∴ T 2 + 1 = T 3 = 10 C 2 1 3 8 2 3 2 = 45 × 1 × 3 81 = 5 3

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