factor: -5t^2 + 20t + 50
-5t² + 20t + 50
-5(t² - 4t - 10)
This cannot be factored any farther using whole numbers.
By completing the square, you can get: -5(t - 2 + √14)(t - 2 - √14). (Don't wory about this answer, unless you have been doing advanced algebra.)
-5t^2 + 20t + 50 .....taking out the greatest common factor, we have
-5(t^2 - 4t - 10)
And that's it......!!! (the trinomial inside the parenhteses isn't factorable)