Question

A rectangular prism has length x - 2, width 5x, and height x - 4. Write the volume V of the prism as a polynomial in standard form. Use the formula V = lwh

Answer 1

(x-2)(5x)(x-4)
X times 5x = 5x^2
X times x = x^2
X times -4 = -4x
-2 times 5x = -10x
-2 times x= -2x
-2 times -4 = 8
5x times x= 5x^2
5x times -4 = -20x
(5x^2 + 5x^2 + x^2) = 11x^2
(-4x + -10x + -2x + -20x) = -36x
8 = 8
11x^2 - 36x + 8