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Factoring Trinomials
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Factoring Trinomials

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  • 1. Factoring Trinomials Ax 2 + Bx + C where A = 1 What’s the difference?
  • 2. X 2 + 2x + 1
  • 3. X 2 + 2x + 1 (x )(x ) + +
  • 4. X 2 + 2x + 1 (x + )(x + ) 1 1
  • 5. (x + 1)(x + 1)
    • Now let’s check it using FOIL
    • F (X)(X) = x 2
    • O (X)(1) = 1x
    • I (1)(X) = 1x
    • L (1)(1) = 1
    1x + 1x = 2x x 2 + 2x +1
  • 6. j 2 – 4j – 45
  • 7. j 2 – 4j – 45
    • (j )(j )
    – +
  • 8. j 2 – 4j – 45
    • (j )(j )
    – + 9 5
  • 9. (j – 9)(j + 5)
    • Now let’s check it using FOIL
    • F (J)(J) = j 2
    • O (J)(5) = 5j
    • I (-9)(J) = -9j
    • L (-9)(5) = -45
    5j + -9j = -4j j 2 -4j -45
  • 10. p 2 + 9p – 22
  • 11. p 2 + 9p – 22
    • (p )(p )
    + –
  • 12. p 2 + 9p – 22
    • (p )(p )
    + – 11 2
  • 13. (p + 11)(p – 2)
    • Now let’s check it using FOIL
    • F (P)(P) = p 2
    • O (P)(-2) = -2p
    • I (11)(p) = 11p
    • L (11)(-2) = -22
    • p 2 +9p -22
    -2p + 11p= 9p
  • 14. m 2 – 5m + 6
  • 15. m 2 – 5m + 6
    • (m )(m )
    – –
  • 16. m 2 – 5m + 6
    • (m )(m )
    – – 2 3
  • 17. (m – 2)(m – 3)
    • Now let’s check it using FOIL
    • F (M)(M) = m 2
    • O (M)(-3) = -3m
    • I (-2)(M) = -2m
    • L (-2)(-3) = 6
    -3m + -2m= -5m m 2 –5m + 6