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jolli1 [7]
3 years ago
7

Divide using synthetic division.

-6%29" id="TexFormula1" title="(x^{4} -x^{3} +3x^{2} -6x-6)" alt="(x^{4} -x^{3} +3x^{2} -6x-6)" align="absmiddle" class="latex-formula">÷(x-2)
Mathematics
1 answer:
Afina-wow [57]3 years ago
7 0

Answer:

Quotient: x^3+x^2+5x+4

Remainder: 2

Step-by-step explanation:

To divide x^4-x^3+3x^2-6x-6 by (x-2) by synthetic division, we write out the coefficients as shown below;

     1      -1       3       -6      -6

<u>2|           2       2       10      8</u>

     1       1       5       4         2

The quotient is x^3+x^2+5x+4

The remainder is 2

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Part 1: Already solved.

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Step-by-step explanation:

Part 1: The data points given are 0, 0, 1/4, 1/2, 1/2, 1, 1, 1, 5/4, 2, and 2.

The data are already sorted from least to greatest.

Part 2: To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.

There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.

Since we know the median is 1, we can find the first quartile by finding the median of the following numbers: 0, 0, 1/4, 1/2, 1/2 (any number less than 1). There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with a first quartile of 1/4.

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