The points plotted below satisfy a polynomial equation. In what ranges of x-values must there be a root of the graph? Check all that apply! I will mark brainliest.

Correct options are A and B.

Step-by-step explanation:

From the given graph it is clear that the given points lie on a parabola because they in U-shape.

We need to find the ranges of x-values such that there must be a root of the graph.

The point (-3,2) lies above the x-axis but point (-2,-2) lies below the axis. It means when these points are connected by a curve then the curve intersects the x-axis

So, one root of the graph lies in the range -3 to -2.

Similarly, point (1,-1) lies below the x-axis but point (2,3) lies above the axis. It means when these points are connected by a curve then the curve intersects the x-axis

So, one root of the graph lies in the range 1 to 2.

Therefore, the correct options are A and B.

answer: haha (: i’ll go see what it is

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.