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svet-max [94.6K]
3 years ago
15

Simplify the expression below. (2x^3-12x^2+10x-108)/x-6

Mathematics
1 answer:
ser-zykov [4K]3 years ago
5 0
We have the following expression:
 (2x ^ 3-12x ^ 2 + 10x-108) / x-6
 Dividing the expression between x-6 we have:
 quotient: 2x ^ 2 + 10
 remainder: - 48
 We can check the result then rewriting the expression:
 2x ^ 3-12x ^ 2 + 10x-108
 = (2x ^ 2 + 10) * (x-6) - 48
 = (2x ^ 3 + 10x - 12 x ^ 2 - 60) - 48
 = 2x ^ 3-12x ^ 2 + 10x-108
 Division OK.
 Answer:
 
The result of the division is:
 
quotient: 2x ^ 2 + 10
 
remainder: - 48
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