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# Algebra 7 Point 3

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### Transcript

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