Polynomial Long Division Quiz
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Questions and Answers

What is the result of the division $\frac{2x^3 - 3x^2 + 5x - 7}{x - 2}$ using long division?

  • $2x^2 - x + 3$ (correct)
  • $2x^2 + x - 3$
  • $2x^2 + x + 3$
  • $2x^2 - x - 3$

What is the quotient of $\frac{4x^4 - 3x^3 + 2x^2 - 5x + 1}{2x^2 - x + 3}$ using long division?

  • $2x^2 - x + 1$ (correct)
  • $2x^2 + x - 1$
  • $2x^2 + x + 1$
  • $2x^2 - x - 1$

What is the result of dividing $\frac{3x^5 - 2x^3 + 4x^2 - 6x + 5}{x^2 - 2}$ using long division?

  • $3x^3 + 2x^2 - 4x - 2 + \frac{17x - 3}{x^2 - 2}$
  • $3x^3 + 2x^2 + 4x + 2 + \frac{17x - 3}{x^2 - 2}$ (correct)
  • $3x^3 - 2x^2 - 4x + 2 + \frac{17x + 3}{x^2 - 2}$
  • $3x^3 - 2x^2 + 4x - 2 + \frac{17x + 3}{x^2 - 2}$

What is one of the purposes of polynomial long division?

<p>To find the zeros of a polynomial that is not factorable over the integers (B)</p> Signup and view all the answers

What is the long division algorithm for ordinary arithmetic similar to?

<p>The method used to check division in elementary arithmetic (C)</p> Signup and view all the answers

What is the sum of parts in the context of polynomial long division?

<p>The quotient multiplied by the divisor plus the remainder (D)</p> Signup and view all the answers

What do we call the result obtained after dividing a polynomial by another using long division?

<p>The quotient (B)</p> Signup and view all the answers

What is the purpose of long division in finding zeros of a polynomial?

<p>To provide a method for solving equations with non-factorable polynomials (D)</p> Signup and view all the answers

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