Question

Solve the equation. Write the solutions from least to greatest.

𝑡^4−3⁢𝑡^3−40⁢𝑡^2=0

Answer 1

t^4 − 3t^3 − 40t^2 = t^2(t^2 − 3t − 40) = t^2[(t − 8)(t + 5)].

So the solutions are t = -5, t = 0 (double root), and t = 8. From least to greatest: -5, 0, 8.