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Chase Mendoza
Mathematics
28 October, 10:34
Factor 56n^4+64n^3+70n^2+80n
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Daphne Everett
28 October, 10:38
0
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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