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SOLUTION ::
g(x) = x + 2
The zero of the polynomial x + 2 is given by
x + 2 = 0
So x = - 2
Let f(x) = x³+ 3x² + 3x + 1
Now by the Remainder Theorem the required Remainder is
f( - 2 )
= (-2)³ + 3 × (-2)² + 3 ×(-2) +1
= - 8 + 12 - 6 + 1
= - 1
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Answer:
The answer is - 1
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