# Question #e1c6e

##### 1 Answer

May 25, 2017

If

So the factors of the desired polynomial must include

We can put a constant factor in as well.

If the list provided only names and does not count zeros, then we could also raise the factors given to powers greater than

If you are required to write the polynomial in standard form, I think you'll find it less cumbersome to multiply in a different order than the one above.

# = x(x^2-1)(x^2-36)#

# = 1(x^4-37x^2+36)#

# = x^5-27x^3+36x#