According to a recent article about individuals who have credit cards, the mean number of cards per person with credit cards is 4. To test this result a random survey of 60 individuals who have credit cards was conducted. The survey only includes the number of credit cards per participant. The results of the survey are attached below.

A) what is the variable interest in this study? Is it qualitative or quantitative?

B) Do the results of the survey imply that the mean number of cards per individual is less than 4?

C. x² − 8x + 24 − 72/(x+3)

Step-by-step explanation:

See attached picture for long division method.

Logically, we know x³ − 5x² factors to x² (x − 5).  Since x + 3 isn't a factor, we know the remainder isn't 0.  So we can narrow the options down to A or C.

One way to find the remainder is through long division.  Or, since this is multiple choice, we multiply the options by x + 3 and see which one results in an answer of x³ − 5x².

(x + 3) (x² − 8x + 24 − 72/(x+3))

(x + 3) (x² − 8x + 24) − 72

x³ − 8x² + 24x + 3x² − 24x + 72 − 72

x³ − 5x²