Determine between which consecutive integers the real zeros of f(x)=x^3-3x+1 are located

Hello from MrBillDoesMath!

See Discussion section below for details

Root 1:  -2, -1

Root 2: 0, 1

Root 3: 1, 2

Discussion:

From the attached plot, the the real zeroes are approximately

-1.8,   .3,   1.5

-2 < -1.8 < -1

0 < 0.3  < 1

1  < 1.5  < 2

The consecutive integers are shown in bold face

Out of curiosity, it's now 11:38am PST. Did you write the question from a public school room, a school computer lab,  or are you home tutored?

Thank you,

MrB

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.

44

step-by-step explanation:

the