Home
Class 10
MATHS
If zeros of f(x) = x^(3) - 12 ^(2) + 39 ...

If zeros of `f(x) = x^(3) - 12 ^(2) + 39 x + k` are in A.P., find k.

Text Solution

Verified by Experts

The correct Answer is:
`-28`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( Competitive exam questions )|5 Videos

  • POLYNOMIALS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( Long answer [LA] type questions )|13 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS - HIGHER ORDER THINKING SKILLS (HOTS)|12 Videos

  • PROBABILITY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS HOTS [HIGHER ORDER THINKING SKILLS]-QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

If zeros of f(x) = x^(3) - 12 x^(2) + 39 x + k are in AP, find k.

If two zeros of f(x) = x^(3) - 4x^(2) - 3x + 12 are sqrt(3) and - sqrt(3) , find its third zero.

Find all the zeroes of f(x) = x^(2) - 2x .

Find the zeros of f(x) = x^(3) - 5x^(2) - 2 x + 24 , if the product of its two zeros is 12 .

If two zeros of a polynomial p(x) = x^(3) - 4x^(2) - 3x + 12 " are " sqrt(3) and - sqrt(3) , find its 3 rd zero .

If one zero of f(x) = 4x^(2) - 8k x - 9 is negative of the other, find k.

Find the values of a and b for which zeros of q(x) = x^(3) + 2x^(2) +a are also the zero of p(x) = x^(5) - x^(4) - 4x^(3) + 3x^(2) + 3x +bp . Also, find zeros of p(x) which are not zeros of q(x) .

If x = 1 is a zeru of the polynomial f(x) = x^(3) - 2x^(2) + 4x + k , write the value of k.

If the roots of the cubic equation x^(3) -9x^(2) +a=0 are in A.P., Then find one of roots and a

If log 2, log ( 2^(x) - 1) and log ( 2^(x) + 3) are in A.P., then 2, 2^(x) -1 , 2^(x) + 3 are in :