Home
Class 10
MATHS
The polynomial x^(3)+2x^(2)-5ax-8 and x^...

The polynomial `x^(3)+2x^(2)-5ax-8` and `x^(3)+ax^(2)-12-6` when devided by (x-2) and (x-3) leave remainder p and q respectively. If q-p=10 find the value of a .

Text Solution

Verified by Experts

The correct Answer is:
`a= (33)/(19)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TOPIC 4 FACTOR THEOREM AND FACTORIZATION (MULTIPLE CHOICE QUESTION)|1 Videos

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TOPIC 4 FACTOR THEOREM AND FACTORIZATION ( SHORT ANSWER TYPE QUESTION)|6 Videos

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TOPIC 3 REMAINDER THEOREM (LONG ANSWER TYPE QUESTION- I)|3 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 3.7)|12 Videos

  • PROBABILITY

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 14.2)|4 Videos

Similar Questions

Explore conceptually related problems

If the polynomials x ^(3) + ax ^(2) + 5 and x ^(3) - 2x ^(2)+a are divided by (x +2) leave the same remainder. Find the value of a.

If the polynomials ax ^(3) + 3x ^(2) -13 and 2x ^(3) -5x +a arfe divided by (x-2) leave the same remainder, find the value of a.

When Polynomial (2x^(3)+ax^(2)+3x-5) and (x^(3)+x^(2)-4x-a) are divisible by x-1 leaves the same remainder find the value of a.

When a polynomial 2x ^(3) + 3x ^(2) + ax + b is divided by (x-2) leaves remainder 2, and (x +2) leaves remainder -2. Find a and b.

The polynomials ax^(3) + 3x^(2) - 13 and 2x^(3) - 4x + a are divided by (x-3). If the remainder is same in each case, find the value of a.

The degree of polynomial p(x) = x^(2) - 3x + 4x^(3) - 6 is :

The polynomial p(x)= ax^(3)+3x^(2)-13 and g(x)= 2x^(3)-4x+a are divided by (x-3) if the remainder in each case is the same , find the value of a.

(x -2) is a factor of 2x^(3) + ax^(2) + bx - 14 and when divided by x-3, the remainder is 52 . Find the values of a and b .

If the polynomial x^(4) - 6x^(3) + 16x^(2) - 25x + 10 is divided by (x^(2) - 2x + k) the remainder comes out to be x + a, find k and a.

If the polynomials 2x ^(3) + ax ^(2) + 3x -5 and x ^(3) + x ^(2) - 4x +a leave the same remainder when divided by x -2, find te value of a.

Home
Profile