Due to my pea brain (not really my brain is above average size) I require some assistance.
What is the quotient of the synthetic division problem below, written in polynomial form?
A. x²+8x+7
B. x²+8x+23
C. x²+6x+9
D. x²+6x+21

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.

step-by-step explanation: