it is -7p + 32: exactly as in the question!
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7p+5q=-3, p=1 7Xp+5q=-3 7+5q=-3 5p=-10 p=-2
7+5q = -3 5q = -3-7 5q =-10 q = -2
p4 - 7p2 + p + 1 = p4 - 3p3 + 3p3 - 9p2 + 2p2 - 6p + 7p - 21 + 22 = p3(p -3) + 392(p - 3) + 2p(p - 3) + 7(p - 3) + 22 = (p-3)(p3 + 39p2 + 2p + 7) + 22 So (p4 - 7p2 + p + 1) / (p-3) = (p3 + 39p2 + 2p + 7) + 22/(p - 3)
p = -1
2(3+p)