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crimeas [40]
3 years ago
5

Use synthetic division to solve (x3 + 1) = (x - 1). What is the quotient?

Mathematics
2 answers:
natulia [17]3 years ago
7 0

Answer:

  • x² + x + 1 and remainder 2

Step-by-step explanation:

<u>Given</u>

  • (x³ + 1) ÷ (x - 1)

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

<u>We know the formula:</u>

  • x³ - 1 = (x - 1)(x² + x + 1)

<u>Rewrite the given as:</u>

  • 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

poizon [28]3 years ago
6 0

Answer:

x² + x + 1 and remainder 2

Step-by-step explanation:

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