Answer:
8t(t - 5)^2
Step-by-step explanation:
I would immediately rearrange these terms in descending order by powers of t:
8t^3 - 80t^2 + 200t
Then I'd factor out 8t:
8t(t^2 - 10 t + 25).
Finally, I'd factor the quadratic t^2 - 10 t + 25:
(t - 5)^2
and so 200t+8t^3-80t^2 in factored form is 8t(t - 5)^2.
It would be better to list the terms in descending order.
8t^3 - 80t^2 + 200t Take out a common factor of t
t(8t^2 - 80t + 200) Now take out 8
8t (t^2 - 10t + 25) Now factor the polynomial
8t(t - 5)(t - 5)
