Question

Given the following roots x = 2, -3, 4. Write a polynomial function p(x)​

Answer 1

Answer:

$x^3-3x^2-10x+24$

Step-by-step explanation:

The first thing that you have to do is take the roots that you're given and write binomial products.

$x= 2, -3, 4$

$(x-2)(x+3)(x-4)$

Remember that a root is the value of "x" in a binomial expression, so the binomial expression itself will have the opposite sign of the root.

The next thing you have to do is multiply the roots together. A good way to do this is the "box method."

(See attachment below for the multiplication of $(x-2)$ and $x+3$. )

Next, multiply your new trinomial by your remaining binomial. (See additional attachment below for the multiplication of $(x^2+x-6)$ and $(x-4)$)

The resulting polynomial is $x^3-3x^2-10x+24$.