Home
Class 10
MATHS
If the quotient obtained on dividing ( 8...

If the quotient obtained on dividing `( 8 x^(4) - 2x^(2) + 6x-7)` by `( 2x + 1 ) ` is `( 4x^(3) + px^(2) - qx + 3 ) `, then find p,q and also the remainder.

Text Solution

Verified by Experts

The correct Answer is:
remainder r(x)= -10, p=-2, q=0
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TOPIC-2 DIVISION ALGORITHM FOR POLYNOMIALS (LONG ANSWER TYPE QUESTION- II)|4 Videos

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TOPIC 3 REMAINDER THEOREM (MULTIPLE CHOICE QUESTION)|2 Videos

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TOPIC-2 DIVISION ALGORITHM FOR POLYNOMIALS ( SHORT ANSWER TYPE QUESTION)|11 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

Find the quotient and remainder when (x^(6)-2x^(5)-x+2) is devided by x-2

Find the quotient and remainder on dividing p(x) by g(x) p(x)= 4x^(3)+8x^(2)+8x+7, g(x)= 2x^(2)-x+1

Knowledge Check

  • (3x^(2) + 1)/(x^(2) -6x + 8) is equal to

    A
    `3 + (49)/(2(x -4))-(13)/(2(x -2))`
    B
    `(49)/(2(x -4))-(13)/(2(x -2))`
    C
    `(-49)/(2(x -4))+(13)/(2(x -2))`
    D
    `(49)/(2(x -4))+(13)/(2(x -2))`

    • Similar Questions

    Explore conceptually related problems

    Divide the polynomial 2x ^(4) - 4x ^(3) - 3x -1 by (x-1)

    If f(x) = 6x^(4) + 8x^(3) + 17x^(2) + 21x + 7 is divided by g(x) = 3x^(2) + 4x +1 , the remainder is ax + b . Find a and b.

    lim _ ( xto infty ) ( 3x^(2) -4x + 5)/( 7x^(2) + 2x +3)

    Find the quotient and the remainder when P (x) = 3x^(3)+ x^(2)+2x+5 is divided by g(x) = x^(2) +2x+1.

    Find the quotient and remainder when 6 x^(4) + 11x^(3) + 13x^(2) - 3x + 27 is divided by 3x + 4. Also check the remainder obtained by using remainder theorem.

    If the remainder on dividing x^(3) + 2x^(2) + kx + 3 by x - 3 is 21, find the quotient and the value of k. Hence find the zeros of the polynomial x^(3) + 2x^(2) + kx - 18 .

    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.

    Home
    Profile