(x2 + 2x + 15)/(x - 3) = x + 5 + 30/(x - 3) where x ≠3
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x2 + 2x - 15 = (x - 3)(x + 5)
x2 + 2x - 15 = (x + 5)(x - 3)
(x + 5)(x - 3)
3x4 plus 5x3 plus x2 - 5 divided by x 2 =[(3x4) + (5x3) + (x2 - 5)]/x2 =(12 + 15 + x2 -5)/x2 =(27 - 5 + x2)/x2 =(22 + x2)/x2
-x2 + 2x + 48 = (x +6)(8 - x)