Dividing Polynomials Quiz
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Questions and Answers

What is the volume of the rectangular solid with length $3x$, width $40$, and height $30$?

  • $90x$
  • $360x$
  • $120x$ (correct)
  • $120$
  • Given the polynomial $3x^4 - 3x^3 - 33x^2 + 54x$, what is the length of the rectangular solid?

  • $-3x^3 - 33x^2 + 54x$
  • $3x^4$
  • $3x$ (correct)
  • $3x^4 - 3x^3 - 33x^2 + 54x$
  • If the volume of the rectangular solid is $73,800$ cubic meters, what is the width of the solid?

  • $30$
  • $61.5$
  • $73,800$
  • $40$ (correct)
  • Suppose the volume of a rectangular solid is given by the polynomial $3x^4 - 3x^3 - 33x^2 + 54x$. What is the height of the solid?

    <p>$3x^4 - 3x^3 - 33x^2 + 54x$</p> Signup and view all the answers

    If the volume of the rectangular solid is given by the polynomial $3x^4 - 3x^3 - 33x^2 + 54x$, what is the missing dimension?

    <p>Height</p> Signup and view all the answers

    Study Notes

    Rectangular Solid Properties

    • The volume of a rectangular solid with length $3x$, width $40$, and height $30$ is unknown.
    • The polynomial $3x^4 - 3x^3 - 33x^2 + 54x$ is related to the volume of the rectangular solid.
    • The length of the rectangular solid is unknown, but can be determined from the polynomial.

    Dimensional Relationships

    • If the volume of the rectangular solid is $73,800$ cubic meters, the width of the solid is unknown.
    • The height of the rectangular solid is unknown, but can be determined from the polynomial.
    • The polynomial $3x^4 - 3x^3 - 33x^2 + 54x$ contains information about the missing dimension of the rectangular solid.

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    Description

    This quiz tests your knowledge on dividing polynomials in precalculus. Topics covered include polynomial long division, synthetic division, and dividing polynomials by monomials.

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