If a polynomial function f(x) has roots 3+ V5 and–6, what must be a factor of f(x)? (x + ( 3-V5)
(x - (3-V5))
(x + (5+ V3))
(x -(5-3))

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.