Let `f(x)` be a polynomial of degree 5 such that `f(|x|)=0` has 8 real distinct , Then number of real roots of `f(x)=0` is ________.

If f(x) is a polynomial of degree 5 with real coefficientssuch that f(|x|)=0 has 8 real roots,then the number of roots of f(x)=0

Column I: Equation, Column II: No. of roots x^2tanx=1,x in [0,2pi] , p. 5 2^(cosx)=|sinx|,x in [0,2pi] , q. 2 If f(x) is a polynomial of degree 5 with real coefficients such that f(|x|)=0 has 8 real roots, then the number of roots of f(x)=0. , r. 3 7^(|x|)(|5-|x||)=1 , s. 4

Column I: Equation, Column II: No. of roots x^2tanx=1,x in [0,2pi] , p. 5 2^(cosx)=|sinx|,x in [0,2pi] , q. 2 If f(x) is a polynomial of degree 5 with real coefficients such that f(|x|)=0 has 8 real roots, then the number of roots of f(x)=0. , r. 3 7^(|x|)(|5-|x||)=1 , s. 4

If f(x) is a polynomial of degree 5 with real coefficients such that f(|x|)=0 has 8 real roots, then f(x)=0 has

If f(x) is a polynomial of degree 5 with real coefficients such that f(|x|)=0 has 8 real roots, then f(x)=0 has

Let f(x) be a polynomial with real coefficients such that f(0)=1 and for all x ,f(x)f(2x^(2))=f(2x^(3)+x) The number of real roots of f(x) is:

If f(x) is a cubic polynomial x^3 + ax^2+ bx + c such that f(x)=0 has three distinct integral roots and f(g(x)) = 0 does not have real roots, where g(x) = x^2 + 2x - 5, the minimum value of a + b + c is

If f(x) is a cubic polynomial x^3 + ax^2+ bx + c such that f(x)=0 has three distinct integral roots and f(g(x)) = 0 does not have real roots, where g(x) = x^2 + 2x - 5, the minimum value of a + b + c is

If f(x) is a cubic polynomial x^3 + ax^2+ bx + c such that f(x)=0 has three distinct integral roots and f(g(x)) = 0 does not have real roots, where g(x) = x^2 + 2x - 5, the minimum value of a + b + c is