Calculating the volume of polynomials involves the standard equation for solving volumes, and basic algebraic arithmetic involving the first outer inner last (FOIL) method.

- Paper
- Pencil
- Calculator (optional)
Utilize a calculator if needed when dealing with large numbers to ensure accuracy. Remember to check the signs of the numbers you are multiplying, because a negative number must be distributed throughout the polynomial.

Write down the basic volume formula, which is volume=length_width_height.

Plug the polynomials into the volume formula.

Example: (3x+2)*(x+3)*(3x^2-2)

Utilize the first outer inner last (FOIL) method to multiply the first two equations. Further explanation of the FOIL method is found in the references section.

Example: (3x+2)*(x+3) Becomes: (3x^2+11x+6)

Multiply the last given equation (which you did not foil), by the new equation attained by foiling. Further explanation of basic polynomial multiplication is found in the references section.

Example: (3x^2-2)*(3x^2+11x+6) Becomes: (9x^4+33x^3+18x^2-6x^2-22x-12)

Combine the like terms. The result is the volume of the polynomials.

Example: (9x^4+33x^3+18x^2-6x^2-22x-12) Becomes: Volume= (9x^4+33x^3+12x^2-22x-12)

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