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>$(2x-1)(x-5)$ (B)</p>
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What is the correct factorization of the second degree polynomial $3x^2 + 4x - 4$?

<p>$(3x-2)(x+2)$ (A)</p>
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What is the correct factorization of the second degree polynomial $4x^2 - 12x + 9$?

<p>$(2x-3)(2x-3)$ (C)</p>
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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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