Factor -4d 3 + 28d 2 - 4d. -4d(d2 - 7d + 1) -4(d2 - 7d + 1) -4(d3 - 7d2 + 1)

"-4d 3 + 28d 2 - 4d" might mean more to you as well as to others if typed as

-4d^3 + 28d^2 - 4d. The " ^ " symbol calls for exponentiation, whereas d 3 is meaningless.

Have a close look at -4d^3 + 28d^2 - 4d. Notice that -4d is a factor of every term? Thus, -4d^3 + 28d^2 - 4d = -4d(d^2 - 7d + 1. Now all we have to do is factor d^2 - 7d + 1

Actually, the factors -4d and d^2 - 7d + 1 are all we need, and the first answer is the correct one.

An important skill here is identifying common factors in a series of terms.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

ok

step-by-step explanation: