T^3-4t^2+5t-2 find zeros of this cubic equation. plzzz fast
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HERE IS YOUR ANSWER⬇
{t}^{3} - 2 {t}^{2} - 15t \\ \\ = t( {t}^{2} - 2t - 15) \\ \\ = t( {t}^{2} - 5t + 3t - 15) \\ \\ = t( \: t(t - 5) + 3(t - 5) \: ) \\ \\ = t(t - 5)(t + 3)
Hence, the zeroes of the cubic equation are
0, 5 and (-3).
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