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)
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In an expression p4 is called a term.
Assuming you mean a fourth degree polynomial,P4 = x4 + 1P3 = x3 + 1P4*P3 = x7 + x4 + x3 + 1 is a seventh degree polynomial.
Tetrahedral
P4
Well depending on what p4 is...the answer could be anything.