7.3 Factoring Trinomials<br />Objective:  <br /><ul><li>To factor trinomials of the form   x2 + bx + c</li></ul>Frameworks...
FOIL With a Negative and a Positive<br />(x - 3)(x + 5)<br />First terms:   x and x         x2<br />Outside terms:  x and ...
FOIL With a Negative and a Positive<br />(x + 3)(x - 5)<br />First terms:   x and x         x2<br />Outside terms:  x and ...
Factoring<br />The product of 2 binomials is usually a trinomial:<br />          (x + 3)(x – 2) = x2 + x - 6<br />To facto...
Signs Flowchart<br />
Factoring<br />To solve this, we use FOIL in reverse:<br />   x2 + x – 6   =  (x      )(x        )<br />Now look at the si...
Factoring<br />Solve:<br />   x2 - 2x – 48   =  (x      )(x        )<br />Now look at the signs:<br /> x2 -2x – 48   =  (x...
Factor x2 - 13x + 40<br />
Factor x2 + 11x + 24<br />
Factor x2 - 15x + 56<br />
Factor x2 - x - 20<br />
Factor x2 - 2x - 24<br />
Do p. 254 1-12<br />
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Algebra 7 Point 3

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Algebra 7 Point 3

  1. 1. 7.3 Factoring Trinomials<br />Objective: <br /><ul><li>To factor trinomials of the form x2 + bx + c</li></ul>Frameworks: 10.P.5<br />
  2. 2.
  3. 3. FOIL With a Negative and a Positive<br />(x - 3)(x + 5)<br />First terms: x and x x2<br />Outside terms: x and 5 +5x<br />Inside terms: 3 and x -3x<br />Last terms: 3 and 5 15<br />Answer: x2 + 2x - 15<br />
  4. 4. FOIL With a Negative and a Positive<br />(x + 3)(x - 5)<br />First terms: x and x x2<br />Outside terms: x and 5 -5x<br />Inside terms: 3 and x +3x<br />Last terms: 3 and 5 15<br />Answer: x2 - 2x - 15<br />
  5. 5. Factoring<br />The product of 2 binomials is usually a trinomial:<br /> (x + 3)(x – 2) = x2 + x - 6<br />To factor a trinomial means to express it as a product of two binomials.<br />To factor x2 + x – 6 <br /> is to rewrite it as (x + 3)(x – 2) <br />
  6. 6. Signs Flowchart<br />
  7. 7. Factoring<br />To solve this, we use FOIL in reverse:<br /> x2 + x – 6 = (x )(x )<br />Now look at the signs:<br /> x2 + x – 6 = (x + )(x - )<br />Then guess & check to find the last 2 numbers, remembering that the two terms multiplied are -6 and added are + 1<br />x2 + x – 6 = (x + )(x - )<br />
  8. 8. Factoring<br />Solve:<br /> x2 - 2x – 48 = (x )(x )<br />Now look at the signs:<br /> x2 -2x – 48 = (x + )(x - )<br />Guess & check:<br /> x2 -2x – 48 = (x + )(x - )<br />
  9. 9. Factor x2 - 13x + 40<br />
  10. 10. Factor x2 + 11x + 24<br />
  11. 11. Factor x2 - 15x + 56<br />
  12. 12. Factor x2 - x - 20<br />
  13. 13. Factor x2 - 2x - 24<br />
  14. 14. Do p. 254 1-12<br />

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