Q33

0. On dividing the polynomial 8x3 - 6x2 + lOx + 3 by (4x + 1), the quotient is 2x2 + k, where k is equal to

  • Option : A
  • Explanation :

    4x+1) 8x3 - 6x2 +10x + 3 (2x2 - 2x +3
                           8x3 + 2x2
                           -                 -
    ____________________________________________________
                             - 8x2 + 10x +3
                             -8x2 - 2x
                               +        +
    _____________________________________________________
                                            12x + 3
                                            12x + 3
                                            -         - 
    ______________________________________________________
                                                  0
    Now, quotient is 2x- 2x + 3 = 2x + k (given)
    =>                                                   k = -2x + 3
    =>                                                   k + 3 - 2x

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