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Question
If p(x) = 4x3 - 3x2 + 2x - 4 find the remainderwhen p(x) is divided by:
x - 4
Solution
p(x) = 4x3 - 3x2 + 2x - 4 ...(i)
Put x = 4 in equation (i), we get
p(4) = 4(4)3 - 3(4)2 + 2(4) - 4
= 4 x 64 -3 x 16 + 8 - 4
= 256 - 48 + 8 - 4
= 264 - 52
= 212
Hence, the remainder is 212.
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