x^3+3x^2+3x+1÷x+1 what is the reminder? please explain its urgent..
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Answer:
zero
Step-by-step explanation:
x³+3x²+3x+1 ÷ x+1 => remainder=?
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we can group the polynomial as:
- (x³+1)+(3x²+3x)
- = (x+1)(x²-x+1)+3(x+1)
- = (x+1)(x²-x+1+3)
- =(x+1)(x²-x+4)
as we see it has a factor of x+1 and as such it is fully divisible by x+1
so the remainder is zero
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