Polynomial Factorization Challenge

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6 Questions

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

(2x-3)(x+5)

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

(x-2)(x-3)

What is the correct factorization of the second degree polynomial 3x^2 - 8x - 3?

(3x+1)(x-3)

What is the correct factorization of the second degree polynomial $2x^2 - 11x + 5$?

$(2x-1)(x-5)$

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

$(3x-2)(x+2)$

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

$(2x-3)(2x-3)$

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)

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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