what is a polynomial with a single root at x=-5 and a triple root at x=3
(x+5)^3*(x-3) = 0
Multiply out the polynomial.
x^4 + __x^3 + __x^2 + __x -375 = 0
You do the rest.
To find a polynomial with a single root at x = -5 and a triple root at x = 3, we can use the fact that a polynomial with a single root can be written as (x - a), where 'a' is the value of the root. Similarly, a polynomial with a triple root can be written as (x - b)^3, where 'b' is the value of the triple root.
Therefore, we can phrase the polynomial with the given roots as follows:
(x + 5) * (x - 3)^3
We combine these two factors together to form the polynomial expression. So, the polynomial with a single root at x = -5 and a triple root at x = 3 is (x + 5) * (x - 3)^3.