# The volume of a rectangular solid is given by the polynomial #8x^4-8x^3-24x^2-3400x# The length of the solid is given by #8x# and the width is given by #x - 5#. Find the height of the solid?

The volume of a rectangular solid is given by the polynomial

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To find the height of the rectangular solid, you can use the formula for the volume of a rectangular solid, which is length times width times height.

Given that the length of the solid is (8x) and the width is (x - 5), you can express the volume of the solid as the product of these two expressions multiplied by the height.

So, the volume (V) can be represented as:

[V = (8x) \times (x - 5) \times h]

This simplifies to:

[V = 8x^2 (x - 5)h]

Given that the volume of the solid is represented by the polynomial (8x^4 - 8x^3 - 24x^2 - 3400x), you can equate it to the expression for volume:

[8x^4 - 8x^3 - 24x^2 - 3400x = 8x^2 (x - 5)h]

From here, you can solve for (h) by dividing both sides of the equation by (8x^2(x - 5)):

[h = \frac{8x^4 - 8x^3 - 24x^2 - 3400x}{8x^2(x - 5)}]

Now, simplify the expression to find (h).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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