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The quotient is x+1.
<h3>What Long division method?</h3>Long division is a method for dividing one large multi digit number into another large multi digit number.
Given:
f(x)= x²+2x+1
g(x)= x+1
The steps to divide the polynomial is :
- Divide the leading term of the dividend by the leading term of the divisor: x²/x=x.
- Multiply it by the divisor: x(x+1)=x²+x.
- Subtract the dividend from the obtained result: (x²+2x+1)−(x²+x)=x+1.
- Divide the leading term of the obtained remainder by the leading term of the divisor: x/x=1.
- Multiply it by the divisor: 1(x+1)=x+1.
- Subtract the remainder from the obtained result: (x+1)−(x+1)
Learn more about long division method here:
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