Question:medium
The coefficient of \( x^{49} \) in the product \( (x-1)(x-2)(x-3) \dots (x-50) \) is:
The coefficient of \( x^{49} \) in the product \( (x-1)(x-2)(x-3) \dots (x-50) \) is:
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This is a property of Vieta's formulas. For a monic polynomial $x^n + a_{n-1}x^{n-1} + \dots + a_0 = 0$, the sum of roots is $-a_{n-1}$.
Updated On: May 6, 2026
- \( -2250 \)
- \( -1275 \)
- \( 1275 \)
- \( 2250 \)
- \( -49 \)
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The Correct Option is B
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