Factor the trinomial completely. If the polynomial cannot be factored, write "prime."
-$3 t ^ { 5 } - 3 t ^ { 4 } - 18 t ^ { 3 }$
A) $3 t ^ { 3 } ( t + 2 ) ( t - 3 )$
B) $( t - 2 ) \left( 3 t ^ { 4 } + 9 \right)$
C) $\left( 3 t ^ { 4 } + 6 \right) ( t - 3 )$
D) $3 t ^ { 3 } ( t - 2 ) ( t + 3 )$

Question

Quizplus · Accepted Answer

The trinomial can be factored by first factoring out the greatest common factor, which is $3t^3$, resulting in $3t^3(t^2 - t - 6)$. Further factoring the quadratic expression $t^2 - t - 6$ gives $3t^3(t + 2)(t - 3)$.

Factor the Trinomial Completely 3t5−3t4−18t33 t ^ { 5 } - 3 t ^ { 4 } - 18 t ^ { 3 }3t5−3t4−18t3

Factor the Trinomial Completely $3 t ^ { 5 } - 3 t ^ { 4 } - 18 t ^ { 3 }$