Home
Class 10
MATHS
Find K, so that x^(2)+2x+K is a factor o...

Find `K`, so that `x^(2)+2x+K` is a factor of `2x^(4)+x^(3)-14x^(2)+5x+6` . Also find all the zeros of the two polynomials.

Text Solution

Verified by Experts

The correct Answer is:
`(-1)/(2)`.
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    OSWAL PUBLICATION|Exercise BOARD CORN (Short Answer Type Questions)|5 Videos
  • POLYNOMIALS

    OSWAL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS |25 Videos
  • POLYNOMIALS

    OSWAL PUBLICATION|Exercise NCERT EXEMPLAR (Exercise -2.3)|10 Videos
  • PAIR OF LINEAR EQUTIONS IN TWO VARIABLES

    OSWAL PUBLICATION|Exercise Case-Based MCQs|15 Videos
  • PROBABILITY

    OSWAL PUBLICATION|Exercise Self Assessment|66 Videos

Similar Questions

Explore conceptually related problems

Find k so that x^2-3x+k is a factor of polynomial x^3-6x^2+11x-6 . Also find all the zeroes of the two polynomial.

The value of k, if x^(2)+2x+k is a factor of 2x^(4)+x^(3)-14x^(2)+5x+6 is

Find the zeros of the polynomial p(x) = x^2+5x+6

Find zeroes of the polynomial 5x^(2)-4-8x .

Find the sum of the zeroes of the quadratic polynomial x^(2)-5x+6

Find the value of k, if (x-1) is a factor of 4x^(3)+ 3x^(2)-4x+k .

If (x-sqrt2) is a factor of x^4-7x^3+10x^2+14x-24 . Find the other factors.

Evaluate the zeroes of the polynomial 2x^2 + 14x+ 20

If 1 and -1 are zeroes of the polynomial x^(3)+5x^(2)-x-5 , then find all zeroes of the given polynomial.