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Hello, is it possible to help me understand this question a little better?

Hello, is it possible to help me understand this question a little better?-example-1

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\begin{equation*} x^2-2x+3-(8)/(3x+2) \end{equation*}

1) Since the degree of the denominator is lower than the numerator's we can divide these expressions through long division that way:

As we can see in each step the aim is to cancel the leading coefficient.

2) Note that a Long Division, has a way to write its answer so we can tell that this is the answer:


(3x^3-4x^2+5x-2)/(3x+2)=\quad x^2-2x+3-(8)/(3x+2)

Note that the remainder is written above the divisor on the final answer.

Hello, is it possible to help me understand this question a little better?-example-1
User Paulmelnikow
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