A rectangular prism with a volume of 5x + 13x² + 6x cubic units has a base area of x² + 2x square units. Find the height of the rectangular prism.
The height of the prism is units.
(Simplify your answer)

Respuesta :

Answer:

h = 5x + 3

Step-by-step explanation:

I believe the volume should be [tex]5x^{3} + 13x^{2} + 6x[/tex]  in the question. Based on the correction:

[tex]V = 5x^{3} + 13x^{2} + 6x\\A = x^{2} + 2x\\V = A.h\\h = \frac{V}{A} = \frac{5x^{3} + 13x^{2} + 6x}{x^{2} + 2x} = \frac{x(5x^{2}+13x+6}{x(x+2)}=\frac{5x^{2}+13x+6}{x+2} = \frac{(x+2)(5x+3)}{x+2} = 5x+3[/tex]

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