Question

Factor 200t+8t^3-80t^2

Answer 1

8t(t - 5)^2

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.

Answer 2

Explanation:

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)