Home
Class 12
MATHS
Let f(x) be a polynomial of degree 5 suc...

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 ________.

A

4 real roots

B

5 real roots

C

3 real roots

D

nothing can be said

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise EXAMPLE|6 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise SINGLE OPTION CORRECT TYPE QUESTIONS|9 Videos

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 10|4 Videos

  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

Similar Questions

Explore conceptually related problems

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 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

Let f(x)=x^(3)+x+1 , let p(x) be a cubic polynomial such that the roots of p(x)=0 are the squares of the roots of f(x)=0 , then

If f(x) is a polynomial of degree n(gt2) and f(x)=f(alpha-x) , (where alpha is a fixed real number ), then the degree of f'(x) is

Let f(x) be a polynomial of degree 2 satisfying f(0)=1, f(0) =-2 and f''(0)=6 , then int_(-1)^(2) f(x) is equal to

Let f(x) be a non - constant polynomial such that f(a)=f(b)=f(c)=2. Then the minimum number of roots of the equation f''(x)=0" in "x in (a, c) is/are

A polynomial of 6th degree f(x) satisfies f(x)=f(2-x), AA x in R , if f(x)=0 has 4 distinct and 2 equal roots, then sum of the roots of f(x)=0 is

Statement-1: The equation (pi^(e))/(x-e)+(e^(pi))/(x-pi)+(pi^(pi)+e^(e))/(x-pi-e) = 0 has real roots. Statement-2: If f(x) is a polynomial and a, b are two real numbers such that f(a) f(b) lt 0 , then f(x) = 0 has an odd number of real roots between a and b.

The graph of a polynomial f(x) is as shown in Fig. 2.21. Write the number of real zeros of f(x) . (FIGURE)

The graph of a polynomial y=f(x) , shown in Fig. 2.18. Find the number of real zeros of f(x) . (FIGURE)