Synthetic division or polynomial division can not figure this out.

(2p^2+7p-39)/(2p-7)

The basic synthetic division algorithm only applies to quotients like this when the divisor (denominator) is a monic linear polynomial, meaning the coefficient of the leading term needs to be 1.

First write



Now, carry out the synthetic division:

...... | 2 .......  7  ...... -39
7/2  |    .......  7  ......  49
----------------------------
...... | 2 ...... 14  ......  10

So you have

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