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Factoring Trinomials

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Factoring Trinomials

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