Can someone help me with this? This is my exit ticket and i didn’t understand and my anxiety didnt let me ask questions. its wonky because i dont want my teacher in the picture.

Correct D

Explanation:

D. Given that the equation x2+ mx+ n= 0 has two solutions, x = kand x = 2k,you can work backward to build the original equation. Here’s how:

x= kx= 2k

x– k= 0 x– 2k= 0

Now take the two equations and combine them:

(x– k)(x– 2k) = 0

x2– 2kx– kx + 2k2= 0

x2– 3kx + 2k2= 0  

As you can see, m= –3kand n = 2k2, so mn= –6k3.