QJEEAdv04Ma7333: JEE Advanced 2004 Mathematics - Class 12 JEEAdv04Ma7333 Solution: Using Rolle's theorem, prove that there is at least one root in …

Question

Verified Solution • 2025–26 Session moderate

Using Rolle's theorem, prove that there is at least one root
in

\left( {{{45}^{1/100}},46} \right)

of the polynomial

P\left( x \right) = 51{x^{101}} - 2323{\left( x \right)^{100}} - 45x + 1035

.

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