Mathematics
Find in each case, the remainder when :
x3 + 3x2 - 12x + 4 is divided by x - 2.
Factorisation
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Answer
x - 2 = 0 ⇒ x = 2.
Required remainder = Value of given polynomial x3 + 3x2 - 12x + 4 at x = 2.
∴ Remainder = (2)3 + 3(2)2 - 12(2) + 4
= 8 + 12 - 24 + 4
= 0.
Hence, remainder = 0.
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