24x2+ 25x − 47 divided by ax − 2 is equal to
−8x −3 with remainder −53, it is true that (−8x − 3)(ax − 2) − 53 = 24x2 +25x −47. (This can be seen by multiplying each side of the given equation by
ax − 2). This can be rewritten as −8ax2+ 16x − 3ax = 24x2+ 25x − 47.
Since the coefficients of the x2 -term have to be equal on both sides of the equation,
−8a = 24, or a = −3.
