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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.
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