8. the factored form of a polynomial function isf(x) = x(2x - 5)(x + 3). which statement correctly
describes the graph of the polynomial function?
a. the graph intersects the x-axis at the
b. the graph intersects the x-axis at the points (-2.5, 0) and (3, 0) and (0, 0).
c. the graph intersects the y-axis at the points (0, – 2.5) and (0, – 3) and (0, 0).
d. the graph intersects the y-axis at the points

Graph intersect at x -axis with points is ( 0 , 0)  ,  (2.5 , 0)  and  ( - 3 , 0 )

Step-by-step explanation:

Given function as ,

F(x) = x(2x - 5)(x + 3)

i.e Y is a function of x

So ,At y = 0 , x =0

          y = 0 , x = = 2.5

          y = 0 , x = - 3

i,.e Graph intersect at x - axis ,

So the points is ( 0 , 0)  ,  (2.5 , 0)  and  ( - 3 , 0 )    Answer

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

the answer is d

the answer is in the first quadrant, which make the y-int positive.

since the dots are going down, therefore the correlation is negative

i hope it is right.