Which of the following is true about graphing polynomial functions?
a.
the factor theorem can be used to determine the shape of the graph of the polynomial function.
b.
the rational zeros theorem and synthetic division can be used to find all of the x-intercepts of the graph of the polynomial function.
c.
the real zeros that are found using synthetic division and the division algorithm are x-intercepts of the graph of the polynomial function.
d.
the remainder theorem can be used to find the end behavior of the graph of a polynomial function.

-13

step-by-step explanation:

f(x)=2x-5 for f(-4)

f(-4)   means let x=-4

f(-4) = 2(-4) -5

f(-4) =-8-5

      = -13

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.