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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 />