The volume of a rectangular prism is b3 + 8b2 + 19b + 12 cubic units, and its height is b + 3 units. The area of the base of the rectangular prism is square units. (Hint: volume = length × width × height) NextReset

Via synthetic division, we have

-3   |   1    8    19    12
...   |        -3   -15   -12
= = = = = = = = = = = =
...   |   1    5      4      0

which is to say,

[tex]\dfrac{b^3+8b^2+19b+12}{b+3}=b^2+5b+4[/tex]

is the area of the base.