Question

Right the equation of least degree given the roots. what is the solution? x=3,-1,5

Answer 1

`(x-3)(x-1.5) = 0`

Explanation:

If `z` is a zero of polynomial `P`, then `x-z` is a factor.

So the factors of the polynomial requested are `x-3` and `x-1.5`.

The polynomial equatiuon of least degree with the requested roots is

`(x-3)(x-1.5) = 0`.

We could simplify to:

`x^2-4.5x+4.5=0`.