I was wondering if anyone could please help me with an Algebra 2 problem involving roots. The roots are 1/2, 1, and 3+2i. I need help finding the equation of that and it passes through the point (-1,200).

Question

I did (x-1/2)(x-1)(x-3+2i)(x-3-2i) as my first step
Is that right?
Then i simplified it but it does not pass through (-1,200)?

Answer 1

Please don't switch names

Answer 2

There is a constant factor. You function is really

y = a(x-1/2)(x-1)(x-3+2i)(x-3-2i)

So, if you find that using your function, f(-1) = 100, then just let a=2, so that it scales the y value to where it passes through the point you want.