After the simplification, the polynomial will be equal to [tex]j^{4k}[/tex].
Given Polynomial is,
[tex]f(k)=3j^{4k} -2j^{3k}+ j^{3k}-2j^{4k}+j^{3k} \\\\f(k)=3j^{4k}-2j^{4k}-2j^{3k}+ j^{3k}+j^{3k}\\\\f(k)=j^{4k}-j^{3k}+j^{3k}\\\\f(k)=j^{4k}[/tex]
Hence, After the simplification, the polynomial will be equal to [tex]j^{4k}[/tex].
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