How to Calculate Volume of Polynomials

Calculating polynomial volume
••• calculatrice image by Noé Rouxel from Fotolia.com

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

    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)

    Things You'll Need

    • Paper
    • Pencil
    • Calculator (optional)

    Tips

    • 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.

Related Articles

How to Factor Binomial Cubes
How to Convert From a Standard to a Vertex Form
How to Solve Volume Math Problems
How to Calculate the Height of a Cone From the Volume
How to Factor Expressions in Algebra
How to Calculate the Radius of a Pipe
How to Solve Rational Expression Equations
How to Factor Polynomials With 4 Terms
The Foil Method With Fractions
How to Find the Volume of a Sphere in Terms of Pi
How to Factor Polynomials With Fractions
How to Calculate the Volume of a Pipe
How to Calculate the Molarity of Mixing
How to Find the Radius of a Cone
How to Find the Volume of a Triangular Pyramid
How to Write the Equation of the Circle in Standard...
How to Find the Volume & Surface Area for a Three-Dimensional...
How to Expand Trinomials
How to Simplify Algebraic Expressions
How to Calculate Gallons and Tank Volume

Dont Go!

We Have More Great Sciencing Articles!