Home
Class 9
MATHS
For what value of k is the polynomial (2...

For what value of k is the polynomial `(2x^(4)+3x^(3)+2kx^(2)+3x+6)` exactly divisible by `(x-2)` ?

Text Solution

Verified by Experts

The correct Answer is:
`(-17)/(2)`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Subjective problems (Long answer type))|5 Videos
  • POLYNOMIALS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Integral /numerical value type)|10 Videos
  • POLYNOMIALS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Subjective problems (Very short answer type))|9 Videos
  • NUMBER SYSTEMS

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|20 Videos
  • PROBABILITY

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER|20 Videos

Similar Questions

Explore conceptually related problems

For a polynomial p(x) of degree ge1, p(a)=0 , where a is a real number, then (x-a) is a factor of the polynomial p(x) For what value of k, the polynomial 2x^(4)+3x^(3)+2kx^(2)+3x+6 is exactly divisible by (x+2) ?

For what value if k is the polynomial p(x)=2x^(3)-kx^(2)+3x+10 exactly divisible by (x+2) ?

For what value of a is the polynomial p(x)=2x^(4)-ax^(3)+4x^(2)+2x+1 is divisible by 1-2x

For what value of k, in the polynomial f(x)=3x^(4)-9x^(3)+x^(2)+15x+k completely divisible by 3x^(2)-5 .

Find the value of a which the polynomial (x^(4)-x^(3)-11x^(2)-x+a) is divisible by (x+3).

For what value of k , -2 is a zero of the polynomial 3x^(2)+4x+2k ?

Without actual division , prove that (2x^(4)+3x^(3)-12x^(2)-7x+6) is exactly divisible by (x^(2)+x-6) .

Use factor theorem to show that x^(4)+2x^(3)-2x^(2)+2x-3 is exactly divisible by (x+3) .

If the polynomial 8x^(4)+14x^(3)-2x^(2)+px+q is exactly divisible by 4x^(2)+3x-2 , then the values of p and q respectively are