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  • 13-05-2020
  • Mathematics
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Factor 56n^4+64n^3+70n^2+80n

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sqdancefan
sqdancefan sqdancefan
  • 13-05-2020

Answer:

  n(7n +8)(n^2 +10)

Step-by-step explanation:

n is obviously a factor of every term. We also note that pairs of terms have coefficients in the ratio of 7 : 8, so (7n +8) is another factor.

  56n^4 +64n^3 +70n^2 +80n = n((7n +8)n^2 +(7n +8)·10)

Then the factorization in integers is ...

  = n(7n +8)(n^2 +10)

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