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>$3x^4 - 3x^3 - 33x^2 + 54x$ (D)</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 (B)</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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