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Functions question

2020 · Shift 1 · Q35

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PYQ Library
JEE Advanced
Mathematics
Functions
2020 · Shift 1 · Q35

Functions question

2020 · Shift 1 · Q35

JEE AdvancedMathematicsFunctionsNumerical+4 / −1

For a polynomial g(x) with real coefficients, let mg denote the number of distinct real roots of g(x). Suppose S is the set of polynomials with real coefficients defined by

S = \{ {({x^2} - 1)^2}({a_0} + {a_1}x + {a_2}{x^2} + {a_3}{x^3}):{a_0},{a_1},{a_2},{a_3} \in R\}

; For a polynomial f, let f' and f'' denote its first and second order derivatives, respectively. Then the minimum possible value of (mf' + mf''), where f

\in

S, is ..............

Numerical answer

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