# What is the remainder when (4x^{3} + 2x^{2} - 18x + 38) ÷ (x - 3)?

**Solution:**

Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence.

Just like the regular division problems, the dividend is divided by the divisor which gives a result known as the quotient, and sometimes it gives a remainder too.

Given, (4x^{3} + 2x^{2} - 18x + 38) ÷ (x - 3)

We have to find the remainder.

By long division,

Therefore, the remainder is 110.

## What is the remainder when (4x^{3} + 2x^{2} - 18x + 38) ÷ (x - 3)?

**Summary:**

The remainder when (4x^{3} + 2x^{2} - 18x + 38) ÷ (x - 3) is 110.

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