Question

The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism? X + 1 minus StartFraction 4 Over x Superscript 4 Baseline + 4 x cubed + 3 x squared + 8 x + 4 EndFraction x + 1 + StartFraction 4 Over x Superscript 4 Baseline + 4 x cubed + 3 x squared + 8 x + 4 EndFraction x + 1 minus StartFraction 4 Over x cubed + 3 x squared + 8 EndFraction x + 1 + StartFraction 4 Over x cubed + 3 x squared + 8 EndFraction

Answer 1

Answer:

So C

Step-by-step explanation:

Answer 2

x + 1 minus StartFraction 4 Over x cubed + 3 x squared + 8

Step-by-step explanation:

Volume of the prism is given by the product of its base area and height. To get the height, divide the volume by the base area

Perform long division of the volume polynomial by the polynomial for base area to get the polynomial for height

x³+3x²+8 √x⁴+4x³+3x²+8x+4

                -x⁴+3x³+8x

                ---------------------------

                       1x³+3x²+0+4

                     - 1x³+3x²+8

                   ------------------------

                                     -4

The answer will be : x+1 + -4/(x³+3x²+8)

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Dividing polynomials : brainly.com/question/11792208

Keywords : volume, rectangular prism, area,height

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