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

Solution:

It is given that

(x³ + 1) ÷ (x - 1)

Numerator is x³ + 1 and denominator is x - 1

The value of denominator is

x - 1 = 0

x = 1

By synthetic division,

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 x² + x + 1.

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

Summary:

Using synthetic division to solve (x³ + 1) ÷ (x - 1), the quotient is x² + x + 1.