What must be a factor of the polynomial function f(x) graft on the coordinate plane below

The correct answer option is B. (x - 1).

Step-by-step explanation:

We are to determine the factor of the polynomial function which is graphed on the given coordinate plane.

We know that if the zeros (or intercepts) of an equation are and then the factors for this equation will be and .

From the graph, we can see that it intercepts the x axis at and . So the roots will be and .

Therefore, the correct answer option is B. (x - 1).

SECOND OPTION.

Step-by-step explanation:

We can verify each option by making eac equal to zero and solving for "x":

First option

The first option is not a factor of the polynomial function, because the parabola does not intersect the x-axis at .

Second option

The second option is a factor of the polynomial function, because the parabola intersects the x-axis at .

Third option

The third option is not a factor of the polynomial function, because the parabola does not intersect the x-axis at .

Fourth option

The fourth option is not a factor of the polynomial function, because the parabola does not intersect the x-axis at .

good job you smart son of a gun you are smarter that einstein. 7

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.