Home
Class 12
MATHS
The polynomial x^3 - kx^2 + 9x has thre...

The polynomial `x^3 - kx^2 + 9x` has three real zeros if and only if, k satifies

A

`|k| le 6`

B

`k = 0`

C

`|k| gt 6`

D

`k| ge 6`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS( 1 MARK )|10 Videos

  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS( Fill in the blanks : )|5 Videos

  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise EXERCISE 3.6|5 Videos

  • PROBABILITY DISTRIBUTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS - 5 MARKS|4 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ( 5 marks )|5 Videos

Similar Questions

Explore conceptually related problems

The polynomial x^(3)+2x+3 has :

x ^(2) +1 has no real zeroes. Why ?

All the value of k for which the quadratic polynomial f(x)=-2x^2+k x+k^2+5 has two distinct zeroes and only one of them satisfying 0 < x < 2 ,lie in the interval (a ,b) The value of (a+10 b) is

If ( x-1) divides the polynomial kx^(3) - 2x^(2) + 25 x -26 without remainder , then find the value of k.

Late a in R and let f: Rvec be given by f(x)=x^5-5x+a , then f(x) has three real roots if a >4 f(x) has only one real roots if a >4 f(x) has three real roots if a<-4 f(x) has three real roots if -4

If he equation x^3+a x^2+b x+216=0 has three real roots in G.P., then b//a has the value equal to _____.