Question

I have two questions actually...
how do you find the coordinates of the foci of an ellipse?
and...
how would you factor this?
x^4+x^3-8x^2+6x+36

Answer 1

the first question depends on what you know
an equation for example?

Answer 2

(x-3)^2/64 + (y+5)^2/100 = 1

Answer 3

ok we can do that
the answer to your second question is
\[(x+2) (x+3) (x^2-4 x+6)\] but i cheated
how you do this by hand is anyone's guess,
maybe find the zeros and then factor them out

Answer 4

thank you for being honest. I just needed the answer so thanks.
but what do i do about the foci?

Answer 5

ok we can do that
first you need to know what the center is, which is really right in front of your eyes
do you know the center?

Answer 6

yes.(3,-5)

Answer 7

ok and the second thing you need to know is, does it look like the one on the left, or the one on the right?

Answer 8

if you don't know it let me know and i will tell you