Question

How do you write a polynomial equation of least degree given the roots -2, 3?

Answer 1

See explanation.

Explanation:

To find the simplest polynomial with roots `r_1,r_2,...,r_n` you multiply the expressions: `(x-r_1)*(x-r_2)...(x-r_n)`. So here the polynomial is:

`P(x)=(x+2)(x-3)=x^2-x-6`