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Rudiy27
3 years ago
13

Divide (–15x5 – 16x4 + 84x3 – 17x2 – 9x – 15) by (x – 8/5) using synthetic division.

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
6 0
Synthetic division work with the coefficient of the given polynomial expression

We have 
-15    -16   84   -17   -9   -15

and the divisor is:
x - ⁸/₅ = 0
x = ⁸/₅

Refer to the diagram below for the steps of synthetic division

Start by multiplying the first coefficient by the divisor, write the answer under the second coefficient, and then add the two values.

Repeat the steps until we use up all the remaining coefficients

The final values are the coefficients of the quotient and the last value is the reminder


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The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

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<u>Step 1:  Order from least to greatest</u>

51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98

<u>Step 2:  Determine the median of the lower half of the data</u>

There are 12 numbers which means that there is going to be 6 numbers on both sides of the data.  So using the first 6 numbers we will be able to determine the median of the lower half of the data.

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Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

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So using the first 6 numbers we will be able to determine the median of the upper half of the data.

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Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

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Answer: The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

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