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Question
If p(x) = 4x3 - 3x2 + 2x - 4 find the remainderwhen p(x) is divided by:
x + 2
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Solution
p(x) = 4x3 - 3x2 + 2x - 4 ...(i)
By the remainder theorem the required remainder = p(2).
Put x = -2 in equation (i), we get
p(-2) = 4(-2)3 -3(-2)2 + 2(-2)-4
= 4 x (-8) -3 x 4 -4 -4
= -32 -12 -4 -4
= -52
Hence, the remainder is -52.
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