90 points the volume of a rectangular prism is 2x^3+9x^2-8x-36 with height x+2 using synthetic division, what is the area of the base? a. 2x^3+13x^2+18x b. 2x^3+5x^2-18x c. 2x^2+13x+18 d. 2x^2+5x-18

Formula

Volume = A_base * height

Solution

Synthetic Division always changes signs of the divisor. Also you add whereas in long division you subtract.

-2   ||  2   +    9  -  8   - 36

                   -4   -10     36

          2       5     -18    0

You can eliminate A and B. You are never left with the same power at the beginning when you do a division.

What you are left with is

A_Base = 2x^2 + 5x - 18

D

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