Question: Make the given changes in the indicated examples of this section and then perform the indicated divisions. In Example 4, change the dividend to 6x

Make the given changes in the indicated examples of this section and then perform the indicated divisions.

In Example 4, change the dividend to 6x2 − 7x + 2.


Data from Example 4

Perform the division (6x2 + x − 2) ÷ (2x − 1).

This division can also be indicated in the fractional form

6x + x - 2 2x 1

We set up the division as we would for long division in arithmetic. Then, following the procedure outlined above, we have the following:

The remainder is zero and the quotient is 3x + 2. Therefore, the answer is

6x + x - 2 2x 1

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