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If f(x) = (x – 1) (x – 3) (x – 7) (x – 9)………… (x – 99), then what will be the coefficient of x49 in f(x)?

Option 1 -

–1275

Option 2 -

–2500

Option 3 -

2500 

Option 4 -

1275

0 2 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • P

    Answered by

    Payal Gupta | Contributor-Level 10

    a month ago
    Correct Option - 2


    Detailed Solution:

    Coefficient of x49 = − Sum of the roots of f (x)

    = − (1 + 3 + 7 +9+ . + 99)

    − (50)2= −2500

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