Polynomial Division Practice

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Questions and Answers

What is the result of dividing $6x^3 - 2x^2 + 5x - 10$ by $2x - 1$?

  • $3x^2 + x + 5$ (correct)
  • $3x^2 - x + 5$
  • $3x^2 + x - 5$
  • $3x^2 - x - 5$

What is the quotient when $4x^4 - 3x^3 + 5x^2 - 9x + 7$ is divided by $2x - 3$?

  • $2x^3 + x^2 - 4x - 1$
  • $2x^3 - x^2 + 4x + 1$ (correct)
  • $2x^3 + x^2 + 4x + 1$
  • $2x^3 - x^2 - 4x - 1$

What is the result of dividing $12x^4 - 8x^3 + 6x^2 - 4x + 10$ by $4x - 2$?

  • $3x^3 - x^2 + 2x + 5$ (correct)
  • $3x^3 + x^2 + 2x + 5$
  • $3x^3 - x^2 - 2x - 5$
  • $3x^3 + x^2 - 2x - 5$

What is the quotient when $8x^5 - 6x^4 + 4x^3 - 10x^2 + 12x - 15$ is divided by $2x - 1$?

<p>$4x^4 + 2x^3 + x^2 - x + 12$ (B)</p> Signup and view all the answers

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Study Notes

Polynomial Division Problems

  • Divide $6x^3 - 2x^2 + 5x - 10$ by $2x - 1$ to find the result.
  • Divide $4x^4 - 3x^3 + 5x^2 - 9x + 7$ by $2x - 3$ to find the quotient.
  • Divide $12x^4 - 8x^3 + 6x^2 - 4x + 10$ by $4x - 2$ to find the result.
  • Divide $8x^5 - 6x^4 + 4x^3 - 10x^2 + 12x - 15$ by $2x - 1$ to find the quotient.

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