Answer:
Hope this helps ;) don't forget to rate this answer !
Explanation:
To write a polynomial function of least degree with rational coefficients that has the given roots, we can use the factor theorem. The factor theorem states that if r is a root of a polynomial function P(x), then x - r is a factor of P(x).
In this case, the roots of the polynomial are x = -2 and x = 10. We can use the factor theorem to write a polynomial function that has these roots as follows:
P(x) = (x + 2)(x - 10)
This polynomial function has degree 2, which is the least degree possible, and all of its coefficients are rational numbers. It has roots x = -2 and x = 10, as required.