7-3 Multiplying Binomials Write a polynomial in standard form for the volume of the rectangular prism shown.

The image is of a rectangular prism having length (x 2), width (3x - 4) and height (5x 1). Its width side area has been shaded.

A. (5x + 1)(x + 2)(3x − 4)

B. 15x3 + 12x2 − 38x − 8

C. 15x3 + 13x2 − 38x − 8

D. 15x3 + 12x2 − 30x − 8

CLICK ON THE DOWNLOD BOX FOR THE IMAGE PLEASR I NEED HELP

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

step-by-step explanation:

i believe its "c" because all of the other options include a but it could be d because there is a way of financing with cash at certain places but its uncommon.