If the equation \( a_{n} x^{n}+a_{n-1} x^{n-1}+\ldots . .+a_{1} x=0... VIDEO
If the equation \( a_{n} x^{n}+a_{n-1} x^{n-1}+\ldots . .+a_{1} x=0, a_{1} \neq 0 \),
\( \mathrm{P} \)
\( n \geq 2 \), has a positive root \( x=\alpha \), then the equation
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\( n a_{n} x^{n-1}+(n-1) a_{n-1} x^{n-2}+\ldots . .+a_{1}=0 \) has a positive root, which is
(1) Greater than or equal to \( \alpha \)
(2) Equal to \( \alpha \)
(3) Greater than \( \alpha \)
(4) Smaller than \( \alpha \)
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