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(x+1)(x−1)(x−3)(x+3)=(x2−1)(x2−9)=x4−10x2+9
So a polynomial equation of minimum degree with roots
x^4-10x^2+9 = 0x4−10x2+9=0