on dividing x³+3x²+3x+1 by 5+2x
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Find the remainder when x3+3x2+3x+1 is divided by
5+2x
Answer
Dividing x3+3x2+3x+1 by 5+2x
So, x3+3x2+3x+1 is dividend and 5+2x is divisor.
Put, 5+2x=0
∴ x=2−5
Let p(x)=x3+3x2+3x+1
Putting x=2−5
p(2−5)=(2−5)3+3(2−5)2+3(2−5)+1
=8−125+475−21
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