SOLUTION: Write a polynomial function in standard form with the given zeros. x= 1,-1, -2

Question 716099: Write a polynomial function in standard form with the given zeros.
x= 1,-1, -2

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
A polynomial function with zeros , , , etc. will have a factored form of:
...
where "a" is any non-zero number.

For a polynomial with the given zeros, its factored form will be:

Since we can pick any non-zero number for "a", there will be a different f(x) for every possible "a". So there is not just one function with the given zeros. To find one such function we will pick a value for "a". To make things easy, we'll make "a" be 1:

All we have left to do is put the equation into the requested standard form. So we simplify:

We can use the pattern to quickly multiply the first two factors:

Now we use FOIL to multiply the remaining factors:

Continuing the simplifying...

This is a polynomial function, in standard form, with the given zeros.
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