Question 1187694
the volume is equal to 2x^3 + 7x^2 + 10x + 8
the height is x + 2.


since volume is equal to area of base * the height, you need to divide the volume by the height to get the area of the base.


2x^3 + 7x^2 + 10x + 8 divided by x+2 is equal to 2x^2 + 3x + 4.


that's the area of the base.


you can do long division or you can do synthetic division to get the area of the base.


here's a reference for both.


<a href = "https://www.purplemath.com/modules/polydiv2.htm" target = "_blank">https://www.purplemath.com/modules/polydiv2.htm</a>


<a href = "https://www.purplemath.com/modules/synthdiv.htm" target = "_blank">https://www.purplemath.com/modules/synthdiv.htm</a>