Use synthetic division to divide (x3 + x2 – 40x – 4) ÷ (x – 6).

a. x2 + 7x + 2 r 8
b. x2 + 5x – 2 r 6
c. x3 + 6x – 1 r 2
d. x2 – 7x + 3 r 5
for

The quotient and remainder (R) is 8

A is correct

Step-by-step explanation:

Given: Synthetic division

Synthetic division: First we write coefficient of polynomial of numerator and then divide by bottom number when 0

Set of synthetic division:

 6  |  1       1      -40     -4  |

                6       42     12

        1       7        2       8

First we put 1 down and then  multiply it by 6. Write the result below next number. Repeat the step till end.

At last we get number 8. This is remainder.

Rest are coefficient of quotient.

Please find the attachment for steps of synthetic division.

Hence, The quotient and remainder (R) is 8

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

i need the options

step-by-step explanation: