A treasure chest has a volume of x3 + 9x2 + 26x + 24 cm3 and the height is x + 4 cm. Find the polynomial that would represent the area of the bottom of the treasure chest? Explain your reasoning.

Question

anonymous · Answer

@goformit100 :)

anonymous · Answer

I divided them using synthetic division and got x^2 +5x +6 r.4 would that be the answer?

anonymous · Answer

:)

mathstudent55 · Answer

The quotient is correct, but there is 0 remainder.

anonymous · Answer

@nylearns I don't think there should be a remainder

anonymous · Answer

Oh ... then how would I work this out?

anonymous · Answer

You were good until your last step I think.

mathstudent55 · Answer

The quadratic you got is the area of the base.
The volume divided by the height = the area of the base.

anonymous · Answer

Check your syn div

anonymous · Answer

can I draw what I did for the division and you guys tell me what I did wrong?

anonymous · Answer

Sure.

anonymous · Answer

|dw:1375754640646:dw|

anonymous · Answer

I noticed I had wrote 25 instead of 26 on my paper but then that's the correct answer I suppose?

anonymous · Answer

ahhh yeah ... No remainder...Good job. I assume you caught your own mistake!

anonymous · Answer

Yea!

anonymous · Answer

Well thanks guys! :)

anonymous · Answer

The medal should be all you @nylearns :-)