What are the zeros of the function?

f(x)=2x3+6x2−8x

x= 0, 4, -1.

Step-by-step explanation:

2x3 + 6x2 - 8x= 0      Take out the common factor 2x:

2x( x^2 - 3x  - 4) = 0

2x(x - 4)(x + 1) = 0

2x = 0 or x - 4 = 0 or x + 1 = 0, so:

x = 0, 4, -1.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3