Home
Class 10
MATHS
For what values of a is 2x^3+a x^2+11 x+...

For what values of `a` is `2x^3+a x^2+11 x+a+3` exactly divisible by `(2x-1)?`

A

4

B

`(8)/(13)`

C

`-(35)/(13)`

D

`-7`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • IMO QUESTION PAPER 2020 SET 1

    SCIENCE OLYMPIAD FOUNDATION |Exercise Everyday Mathematics|10 Videos
  • IMO QUESTION PAPER 2020 SET 1

    SCIENCE OLYMPIAD FOUNDATION |Exercise Achievers Section|5 Videos
  • IMO QUESTION PAPER 2019 SET B

    SCIENCE OLYMPIAD FOUNDATION |Exercise ACHIEVERS SECTION |5 Videos
  • IMO QUESTION PAPER 2020 SET 2

    SCIENCE OLYMPIAD FOUNDATION |Exercise Achievers Section|4 Videos

Similar Questions

Explore conceptually related problems

For what values of a is 2x^(3)+ax^(2)+11x+a+3 exactly divisible by (2x-1)?

For what values of m and n is 2x^(4)-11x^(3)+mx+n is divisible by x^(2)-1 ?

x ^(3) + 6x ^(2) + 11 x + 6 is divisible by

The value of 6a+11b, if x^(3)-6x^(2)+ax+b is exactly divisible by (x^(2)-3x+2) is

If x^(3) +ax^(2) + 2x+3 is exactly divisible by (x+1) . Find the value of a

Find the value of k for which x^(2)+(k-1)x+k^(2)-16 is exactly divisible by (x-3) but not divisible by (x-4)

Find the value of a if ax^(3)-(a+1)x^(2)+3x-5a is divisible by (x-2) .

Find the values of a and b so that the polynomial (x^(3)-10x^(2)+ax+b) is exactly divisible by (x-1) as well as (x-2) .

Find the value of a and b so that the polynomial x^(3)+10x^(2)+ax+b is exactly divisible by (x-1) and (x-2).

Find the values of a and b so that the polynomial (x^(3)-10x^(2)+ax+b) is exactly divisible by (x -1) as well as (x -2).