# Use synthetic division to solve (x^{3} + 1) ÷ (x - 1). What is the quotient?

**Solution:**

It is given that

(x^{3} + 1) ÷ (x - 1)

Numerator is x^{3} + 1 and denominator is x - 1

The value of denominator is

x - 1 = 0

x = 1

The last entry is the remainder.

So the remainder is 2.

The entry in the last line provides the coefficients of the quotient.

Therefore, the quotient is x^{2 }+ x + 1.

## Use synthetic division to solve (x^{3} + 1) ÷ (x - 1). What is the quotient?

**Summary:**

Using synthetic division to solve (x^{3} + 1) ÷ (x - 1), the quotient is x^{2} + x + 1.

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