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The Quadratic Formula and FOIL

The Quadratic Formula and FOIL. Algebra I. FOIL. F: First (a+3) (a+2) O: Outer (a+3) (a+2 ) I: Inner (a+3) (a+2 ) L: Last (a+3) (a+2). (a+3) (a+2)=0. (a x a) + (a x 2) + (a x 3) + (3 x 2) =0 a 2 + 2a + 3a + 6 =0 a 2 + 5a + 6 =0. (b+5) (b-4) =0.

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The Quadratic Formula and FOIL

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  1. The Quadratic Formula and FOIL Algebra I

  2. FOIL • F: First (a+3) (a+2) • O: Outer (a+3) (a+2) • I: Inner (a+3) (a+2) • L: Last (a+3) (a+2)

  3. (a+3) (a+2)=0 (a x a) + (a x 2) + (a x 3) + (3 x 2) =0 a2 + 2a + 3a + 6 =0 a2+ 5a + 6 =0

  4. (b+5) (b-4) =0 (b x b) – (b x 4) + (b x 5) – (4 x 5) =0 b2 – 4b +5b – 20 =0 b2 + b – 20 =0

  5. General Equation ax2 + bx +c =0

  6. x2 + 14x +49 =0 Goal: To find two numbers when added together give you b, but when multiplied give you c In this equation: a= 1 b= 14 c= 49

  7. x2 + 14x +49 =0 ( _ _ _) ( _ _ _) =0 ( x + _) (x + _) =0 ( x +7) ( x + 7) =0 x + 7 =0 x +7 =0 x = -7 x = -7

  8. 4x2+2x -12 =0 ( _ _ _ ) ( _ _ _ ) =0 (2x + _) (2x - _) =0 Multiples of 12: 3 x 4, 2 x 6, 1 x 12 ( 2x+ 3) (2x – 4) =0 4x2 -2x -12 =0 (2x + 4) (2x – 3) =0 4x2 +2x -12 =0

  9. (3x -2) (x +3) =0

  10. (3x +1) (2x -1)

  11. x2 – 3x - 18

  12. x2 + x - 30

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