SOLUTION: Given that -2,4,-5 are solutions to the polynomial equation, what are the factors?

Question 1180341: Given that -2,4,-5 are solutions to the polynomial equation, what are the factors?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The question as worded can't be answered; it is not defined well enough.

So I will ignore the question that is shown in your post and answer the question you undoubtedly intended to ask.

If a polynomial equation can be written in factored form as

then p, q, and r are solutions to the equation, i.e., roots of the equation.

Conversely, if p, q, and r are the roots of a cubic polynomial equation, then the equation can be written in that factored form.

So, in your example, with roots -2, 4, and -5, the equation can be written in the form

So, written in that form, the factors of the equation are (x+2), (x-4), and (x+5).

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