SOLUTION: A polynomial P(x) and a divisor d(x) are given. Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x), and express P(x) in the form d(x)

Question 367590: A polynomial P(x) and a divisor d(x) are given. Use long division to find the
quotient Q(x) and the remainder R(x) when P(x) is divided by d(x), and
express P(x) in the form d(x)∙ Q(x) + R(x).
P(x) = x4 + 3x2 + 18 d(x) = x2 � 3

Answer by Jk22(389) (Show Source): You can put this solution on YOUR website!
x4 + 3x2 + 18 | x2 � 3 = d(x)
-----------------------
x4 - 3x2......| x2 + 6 = Q(x)
--------------|
6x2 + 18......|
6x2 - 18......|
--------------|
......36 = R(x)

Hence : x4 + 3x2 + 18 = (x2 - 3)(x2 + 6) + 36

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