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36p^{4}+1p^{3}+35p^{2}
Calculate 1 to the power of 4 and get 1.
36p^{4}+p^{3}+35p^{2}
For any term t, t\times 1=t and 1t=t.
p^{2}\left(36p^{2}+p+35\right)
Factor out p^{2}. Polynomial 36p^{2}+p+35 is not factored since it does not have any rational roots.