Respuesta :

The quotient is x+1.

What Long division method?

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:

https://brainly.com/question/10532559

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