How to Calculate Volume of Polynomials

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

Things You'll Need

  • Paper
  • Pencil
  • Calculator (optional)
  • Write down the basic volume formula, which is volume=lengthwidthheight.

  • 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)

References

  • Photo Credit calculatrice image by Noé Rouxel from Fotolia.com
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