By factor theorem, substituting x = 2 and x = 1/2 both make the polynomial equal 0. Equating the resulting expressions 4p + 10 + r = 0 and p/4 + 5/2 + r = 0 simplifies perfectly to prove p = r.
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By factor theorem, substituting x = 2 and x = 1/2 both make the polynomial equal 0. Equating the resulting expressions 4p + 10 + r = 0 and p/4 + 5/2 + r = 0 simplifies perfectly to prove p = r.