Question

What polynomial has roots of -4, 2, and 5 ?

Answer 1

Since it has three roots, so it is third degree polynomial..

In general, if a, b and c are roots of any polynomial, then we find the polynomial as:

\[(x-a)(x-b)(x-c)\]

So, here a = -4 and b = 2 and c = 5..

So, solve this to get your answer:

\[\huge \color{green}{(x+4)(x-2)(x-5)}\]

Multiply this expression to get the polynomial...

Answer 2

\(\huge \color{blue}{\mathbf{Welcome \quad To \quad Openstudy..}}\)

Answer 3

so it's x^3-3x^2-18x+40 right?

Answer 4

wow that was easy thank you!