New RBI Grade B 2025 Notification will come Soon! Enroll Here

    Question

    Determine the remainder when the polynomial 4x

    3  - 5x 2  + 2x + 1 is divided by (4x - 3).
    A 13/8 Correct Answer Incorrect Answer
    B 5/16 Correct Answer Incorrect Answer
    C 11/8 Correct Answer Incorrect Answer
    D 7/16 Correct Answer Incorrect Answer

    Solution

    4x - 3 = 0

    Or, 'x' = (3/4)

    Remainder = 4 x (3/4) 3  - 5 x (3/4)  2  + 2 x (3/4) + 1

    = 4 x (27/64) - 5 x (9/16) + (6/4) + 1

    = (27/16) - (45/16) + (6/4) + 1

    = (27 - 45 + 24 + 16) ÷ 16 = (22/16) = (11/8)

    Practice Next