# What is the first term of the quotient of the following division problem (x^{3}-1) ÷ (x+2)?

**Solution:**

The given polynomial = (x^{3}-1)/ (x+2)

The quotient is the answer you get when you divide one number by another.

Quotient = Dividend/ Divisor

We generally do a long division of polynomials.

To find the first term of the quotient in (x^{3}-1)/ (x+2)

Look at the first term of both dividend and divisor.

In the dividend, the first term is x^{3} while x is the first term of the divisor.

The term when multiplied with x should give us x^{3 }

Here x × x^{2} is x^{3}.

Therefore, the first term of the quotient is x^{2}.

## What is the first term of the quotient of the following division problem (x^{3}-1) ÷ (x+2)?

**Summary:**

The first term of the quotient of the following division problem (x^{3}-1) ÷ (x+2) is x^{2}.