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

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Answer:


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

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.

Given the following roots x = 2, -3, 4. Write a polynomial function p(x)​-example-1
Given the following roots x = 2, -3, 4. Write a polynomial function p(x)​-example-2
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