Suppose our roots are ‘[a, b, c]’. We want a polynomial which is zero when ‘x’ is any of these values. The trivial polynomial ‘x-a’ is zero when ‘x=a’, so the product ‘(x-a)(x-b)(x-c)’ will do the job. We can use a c x to write this in a more familiar form.
1: 34 x - 24 x^3 1: [1.19023, -1.19023, 0]
. .
r 2 a P x <RET>
1: [x - 1.19023, x + 1.19023, x] 1: (x - 1.19023) (x + 1.19023) x
. .
V M ' x-$ <RET> V R *
1: x^3 - 1.41666 x 1: 34 x - 24 x^3
. .
a c x <RET> 24 n * a x
Sure enough, our answer (multiplied by a suitable constant) is the same as the original polynomial.