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4b^{2}a^{4}-21ba^{2}+5
Consider 4a^{4}b^{2}-21a^{2}b+5 as a polynomial over variable a.
\left(4ba^{2}-1\right)\left(ba^{2}-5\right)
Find one factor of the form kb^{m}a^{n}+p, where kb^{m}a^{n} divides the monomial with the highest power 4b^{2}a^{4} and p divides the constant factor 5. One such factor is 4ba^{2}-1. Factor the polynomial by dividing it by this factor.