Polynomial Factorization Challenge
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Questions and Answers

What is the correct factorization of the second degree polynomial 2x^2 + 7x - 15?

  • (2x-3)(x+5) (correct)
  • (2x+3)(x-5)
  • (2x-5)(x+3)
  • (2x+5)(x-3)
  • What is the correct factorization of the second degree polynomial x^2 - 5x + 6?

  • (x-3)(x-2)
  • (x-1)(x-6)
  • (x-2)(x-3) (correct)
  • (x-6)(x-1)
  • What is the correct factorization of the second degree polynomial 3x^2 - 8x - 3?

  • (3x+3)(x-1)
  • (3x-3)(x+1)
  • (3x+1)(x-3) (correct)
  • (3x-1)(x+3)
  • What is the correct factorization of the second degree polynomial $2x^2 - 11x + 5$?

    <p>$(2x-1)(x-5)$</p> Signup and view all the answers

    What is the correct factorization of the second degree polynomial $3x^2 + 4x - 4$?

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

    What is the correct factorization of the second degree polynomial $4x^2 - 12x + 9$?

    <p>$(2x-3)(2x-3)$</p> Signup and view all the answers

    Study Notes

    Factorization of Quadratic Polynomials

    • 2x² + 7x - 15

      • Factorization: (2x - 3)(x + 5)
    • x² - 5x + 6

      • Factorization: (x - 2)(x - 3)
    • 3x² - 8x - 3

      • Factorization: (3x + 1)(x - 3)
    • 2x² - 11x + 5

      • Factorization: (2x - 1)(x - 5)
    • 3x² + 4x - 4

      • Factorization: (3x - 2)(x + 2)
    • 4x² - 12x + 9

      • Factorization: (2x - 3)² (perfect square trinomial)

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    Description

    Test your factoring skills with these second degree polynomial factorization problems. Factorize polynomials like x^2 - 5x + 6, 2x^2 + 7x - 15, and 3x^2 - 8x - 3 to practice and improve your algebraic abilities.

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