-4k²(k+6)(k-1). The expression [tex]-4k^{4}-20k^{3}+24k^{2}[/tex] can be factored by factor completely to the expression -4k²(k+6)(k-1).
To factor the polynomial by factor completely, we must to use the pattern as follows:
1. Greatest Common Factor
[tex]-4k^{4}-20k^{3}+24k^{2}[/tex] factored into [tex]-4k^{2}(k^{2}+5k-6)[/tex]
2. Factor the trinomial
[tex]-4k^{2}(k+6)(k-1)[/tex]
