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31 July, 21:34

Using the reminder therom 4x^3+6x^2+3x+2 is divided by 2x + 3

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  1. 1 August, 01:28
    0
    -5/2 or - 2.5.

    Step-by-step explanation:

    The remainder theorem states that if the polynomial f (x) is divided by (x - a) then the remainder is f (a).

    To find the remainder we put x = - 3/2 (by solving 2x + 3 = 0).

    The remainder = 4 (-3/2) ^3 + 6 (-3/2) ^2 + 3 (-3/2) + 2

    = - 27/2 + 27/2 - 9/2 + 2

    = - 9/2 + 4/2

    = - 5/2.
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