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

1 and 0

step-by-step explanation: