Find the quotient and the remainder (if any), when:
6x2 + x - 15 is divided by 3x + 5.
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a3 - 5a2 + 8a + 15 is divided by a + 1.
3x4 + 6x3 - 6x2 + 2x - 7 is divided by x - 3.
The area of a rectangle is x3 - 8x2 + 7 and one of its sides is x - 1. Find the length of the adjacent side.