Given the polynomial 6x3 + 4x2 - 6x - 4, what is the value of the coefficient 'k' in the factored form?

6x3 + 4x2 - 6x - 4 = 2(x + k)(x - k)(3x + 2)

k=

6 x³ + 4 x² - 6 x - 4 = 2 x² ( 3 x + 2 ) - 2 ( 3 x + 2 ) =

= ( 3 x + 2 ) ( 2 x² - 2 ) =

= 2 ( 3 x + 2 ) ( x² - 1 ) =

= 2 ( x + 1 ) ( x - 1 ) ( 3 x + 2 )

k = 1

hope this helps!!!

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !