# How do you write a polynomial equation of least degree given the roots -1, 1, 3, -3?

##### 1 Answer

Aug 11, 2018

#### Explanation:

A polynomial in

So a polynomial in

#(x+1)(x-1)(x-3)(x+3) = (x^2-1)(x^2-9) = x^4-10x^2+9#

So a polynomial equation of minimum degree with roots

#x^4-10x^2+9 = 0#