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Factoring polynomials completely

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Factoring polynomials completely

  1. 1. Factoring Polynomials Completely By L.D.
  2. 2. Problem 1Instructions: Factor 4n2 – 16 completely.
  3. 3. Problem 1Instructions: Factor 4n2 – 16 completely.The first thing we need to do here is to find the GCFand make the problem look like 4(n2 – 4)
  4. 4. Problem 1Instructions: Factor 4n2 – 16 completely.The first thing we need to do here is to find the GCFand make the problem look like 4(n2 – 4)The next thing we need to do is to factor the binomialinside, n2 – 4 will become (n + 2)(n - 2).
  5. 5. Problem 1Instructions: Factor 4n2 – 16 completely.The first thing we need to do here is to find the GCFand make the problem look like 4(n2 – 4)The next thing we need to do is to factor the binomialinside, n2 – 4 will become (n + 2)(n - 2).The last thing to be done is that the problem will endup 4(n + 2)(n - 2) which is factored as far as we cantake it.
  6. 6. Problem 1 ExtrasFactor These Completely:- 5x2 - 45- 4 – 30- 8x2 + 64
  7. 7. Problem 1 ExtrasFactor These Completely:- 5x2 – 45 5(x + 3)(x – 3)- 8d3 + 24d 4d(2d2 + 6)- 8x2 + 64
  8. 8. Problem 2Instructions: Factor 9y3 + 81y2 = 0 completely andsolve
  9. 9. Problem 3Instructions: Factor 3x2 – 18x – 21 completely.
  10. 10. Problem 3Instructions: Factor 3x2 – 18x – 21 completely.First, find the GCF to get 3(x2 – 6x – 7)
  11. 11. Problem 3Instructions: Factor 3x2 – 18x – 21 completely.First, find the GCF to get 3(x2 – 6x – 7)Now, you need to factor the interior to get (x + 7)(x –1), making our answer 3(x + 7)(x – 1).

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