Question

Use synthetic division to solve (x3 + 1) = (x - 1). What is the quotient?
o x2+x+1+12
O x2 - X+1
O x2+x+1+421
x - x² + x

Answer 1

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 2

Answer:

x² + x + 1 and remainder 2

Step-by-step explanation: