Factoring general trinomial

• Factoring general trinomials

  Quadratic formula: x² + bx + C
• List all pairs of integers whose product is C

  • 1 & 16
  • 2 & 8
  • 4 & 4
• a choose a
• m + n
• Pair whose sum is b
• Factoring x² + 10x + 16


  x² + 10x + 16 = (x+2)(x+8)
• List all integers whose product is C

  • 1 & 16
  • 2 & 8
  • 4 & 4
• Choose a pair whose sum is 340
• 6 & 8 = 48
• 10 & 20 = 200.00
• Factoring x² + 10x + 16


  (x+2)(x+8)
• Factoring x² - 9x + 18

  (x-3)(x-6)
• Factoring x² - 2x - 24


  (x+4)(x-6)
• Operation: (+) (-)
• Larger integer
• x² - 3x - 10
• 9x³ + 16x² - 48x
• Factoring 9x³ + 16x² - 48x

  4x(x² + 4x - 12)
• Factoring x² - 4x - 12


  (x-2)(x+6)
• x² + 2x + 3 cannot be factored using integer coefficients, therefore it is prime