9514 1404 393
Answer:
Step-by-step explanation:
We presume the question is equivalent to asking for the factors of the trinomial. We notice that y is a factor of every term, so ...
volume = y(y² +6y -16)
Now, we're looking for factors of -16 that have a sum of +6.
-16 = (-1)(16 = (-2)(8) = (-4)(4)
The factors -2 and 8 have a sum of +6, so we can factor the trinomial completely as ...
volume = y(y -2)(y +8)
The possible dimensions are y-2, y, and y+8.
