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JEE Main 2022 · 28 Jun · Shift 1, Mathematics question 12

The number of real solutions of x7+5x3+3x+1=0x^7+5x^3+3x+1=0 is equal to ______.

Choose one option
Answer and worked solution

Official answer: B

Monotonic. f′(x)=7x6+15x2+3>0f'(x)=7x^6+15x^2+3>0, and an odd-degree polynomial has at least one real root: exactly one.

(B)

Topics:MonotonicityTheory of equations (higher degree)
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