# The volume of a rectangular prism is #3x^3+34x^2+72x-64#, if the height is x+4, what is the area of the base of the prism?

The formula for volume of a prism is

Use either synthetic or long division. I will use long division but either methods work.

Therefore, the quotient is

Hopefully this helps!

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To find the area of the base of the prism, we need to divide the volume by the height.

Dividing the volume (3x^3 + 34x^2 + 72x - 64) by the height (x + 4), we get:

(3x^3 + 34x^2 + 72x - 64) / (x + 4)

Using polynomial long division or synthetic division, we can divide the polynomial to find the quotient:

Quotient = 3x^2 - 2x + 16

Therefore, the area of the base of the prism is 3x^2 - 2x + 16.

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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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