Respuesta :

mhanifa

Answer:

  • x² + x + 1 and remainder 2

Step-by-step explanation:

Given

  • (x³ + 1) ÷ (x - 1)

Without using a synthetic division, we can use easier method to find the quotient.

We know the formula:

  • x³ - 1 = (x - 1)(x² + x + 1)

Rewrite the given as:

  • x³ + 1 =
  • x³ - 1 + 2 =
  • (x - 1)(x² + x + 1) + 2

This expression, when divided by (x - 1) leave the quotient (x² + x + 1) and a remainder of 2

Answer:

x² + x + 1 and remainder 2

Step-by-step explanation: