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Factoring Trinomials Ax 2  + Bx + C  where A = 1 What’s the difference?
X 2  + 2x + 1
X 2  + 2x + 1  (x  )(x  ) + +
X 2  + 2x + 1  (x  +  )(x  +  ) 1 1
(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...
j 2  – 4j – 45
j 2  – 4j – 45  <ul><li>(j  )(j  ) </li></ul>– +
j 2  – 4j – 45  <ul><li>(j  )(j  ) </li></ul>– + 9 5
(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 ...
p 2  + 9p – 22
p 2  + 9p – 22 <ul><li>(p  )(p  )  </li></ul>+ –
p 2  + 9p – 22 <ul><li>(p  )(p  )  </li></ul>+ – 11 2
(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...
m 2  – 5m + 6
m 2  – 5m + 6 <ul><li>(m  )(m  ) </li></ul>– –
m 2  – 5m + 6 <ul><li>(m  )(m  ) </li></ul>– – 2 3
(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 ...
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Factoring Trinomials

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Transcript of "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
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