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Mathematics · 2021

JEE Main · 26 February 2021, Shift 2 · Q84

Let a be an integer such that all the real roots of the polynomial 2 x^5+5 x^4+10 x^3+10 x^2+10 x+10 lie in the interval (a, a+1). Then, a is equal…

Let a be an integer such that all the real roots of the polynomial $\displaystyle 2 x^5+5 x^4+10 x^3+10 x^2+10 x+10$ lie in the interval (a, a+$\displaystyle 1$). Then, | a | is equal to \_\_\_\_.
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.