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aliina [53]
3 years ago
14

Find the quotient of the quantity negative 40 times x to the 3rd power minus 12 times x to the 2nd power plus 16 times x all ove

r negative 4 times x.
Mathematics
2 answers:
nikitadnepr [17]3 years ago
8 0

Answer:

quotient is 10x^2+3x-4

Step-by-step explanation:

\frac{-40x^3-12x^2+16x}{-4x}

To find the quotient we divide each term by -4x

\frac{-40x^3}{-4x} =10x^2

Negative and negative becomes positive.

\frac{-12x^2}{-4x} =3x

\frac{-16x}{-4x} =-4

\frac{-40x^3-12x^2+16x}{-4x}=10x^2+3x-4

Taya2010 [7]3 years ago
5 0

-10x^2-3x+4

Hope this helps

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So, we can think of our numbers as

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In order to make sure that the sum of any three adjacent numbers is divisible by 3, we have to make sure that any group of 3 three adjacent numbers contains a 0, a 1 and a 2. This is possible only if we arrange our 9 numbers in 3 groups of 3 numbers containing 0,1 and 2 exactly once, repeating always the same pattern.

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One possible way of following this pattern would be the arrangement

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In fact, we substituted every '0' with a multiple of 3 (3, 6 or 9), every '1' with a number 1 away from a multiple of 3 (1, 4 or 7) and every '2' with a number 2 away from a multiple of 3 (2, 5 or 8).

This means that, once we fix a patter, we have 3 choices for the first 3 slots, 2 choices for the next 3 slots, and the final slot will be fixed. So, we have

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216\cdot 6 = 1296

possible arrangements.

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