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Q.

Let P(x) be a monic quadratic polynomial with rational coefficients and  P(5+5+5+........∞ terms)=0 then:

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a

The value of 2024 ∑r=220241P(r)+5= 2023 

b

∫−11dxP(x)+x+6=π2

c

∫12dxPx+x+4 = ln2+3

d

limn→∞∑r=3n1p(r)+3=1

answer is A, C, D.

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Detailed Solution

x=5+5+...=x+5⇒p(x)=x2−x−5

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