Solve 2t^3-48t^2-4t^4

$$2 t ^ { 3 } - 48 t ^ { 2 } - 4 t ^ { 4 }$$

Factor

$$2t^{2}\left(-2t^{2}+t-24\right)$$

Solution Steps

Factor out 2.

$$2\left(t^{3}-24t^{2}-2t^{4}\right)$$

Consider t^{3}-24t^{2}-2t^{4}. Factor out t^{2}.

$$t^{2}\left(t-24-2t^{2}\right)$$

Rewrite the complete factored expression. Polynomial t-24-2t^{2} is not factored since it does not have any rational roots.

$$2t^{2}\left(t-24-2t^{2}\right)$$

Evaluate

$$2t^{2}\left(-2t^{2}+t-24\right)$$