What is the first term of the quotient of the following division problem (x³-1) ÷ (x+2)?

Solution:

The given polynomial = (x³-1)/ (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 (x³-1)/ (x+2)

Look at the first term of both dividend and divisor.

In the dividend, the first term is x³ while x is the first term of the divisor.

The term when multiplied with x should give us x³ 

Here x × x² is x³.

Therefore, the first term of the quotient is x².

What is the first term of the quotient of the following division problem (x³-1) ÷ (x+2)?

Summary:

The first term of the quotient of the following division problem (x³-1) ÷ (x+2) is x².