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# Factoring Trinomials

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### Transcript

• 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