Which factor of 120 can be divided using synthetic division in the polynomial x^3 - 12x^2 +32x -120, with no remainder, Please help. Which factor of 120 can be divided using synthetic division in the polynomial x^3 - 12x^2 +32x -120, with no remainder, Please help. @Mathematics

Question

anonymous · Answer

Help?

turingtest · Answer

we need to find a zero for this polynomial so let's try a few. Plugging in various factor of 120:
2,4,6... let me check for a zero. You can do the same in the meantime, maybe you'll find one first.

anonymous · Answer

kk So far 4, 5 and 6 dont work

turingtest · Answer

try negatives too...
I haven't found one yet...

anonymous · Answer

I did try the negatives of those, still dont work

turingtest · Answer

yeah I haven;t found one yet, I hope it's not too big of a number. This could take a minute...

anonymous · Answer

x^3 - 12x^2 +32x -120
{x -> 10}, {x -> 1 - i Sqrt[11]}, {x -> 1 + i Sqrt[11]}

turingtest · Answer

ok 10 is a zero, so x-10 is a factor

turingtest · Answer

that means we can synthetically divide this polynomial by 10 with no remainder

anonymous · Answer

yes, 10 is a factor

anonymous · Answer

Ok :) thanks you so much, I have to depress the question now, I'll let you know if I need more help.

anonymous · Answer

So would it come out to be x^2 - 2x + 12?