If the polynomial equation a n x n + a n–1 x n–1 + .... + a 2 x 2 + a 1 x + a 0 = 0, n…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If the polynomial equation
an xn + an–1 xn–1 + .... + a2 x2 + a1x + a0 = 0, n positive integer, has two different real roots α and β, then between α and β, the equation
nanxn–1 + (n – 1) an–1 xn–2 + ... + a1 = 0 has
an xn + an–1 xn–1 + .... + a2 x2 + a1x + a0 = 0, n positive integer, has two different real roots α and β, then between α and β, the equation
nanxn–1 + (n – 1) an–1 xn–2 + ... + a1 = 0 has
- exactly one root
- atmost one root
- atleast one root
- no root
Answer
(C) atleast one root
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