Find a polynomial f(x) of degree 4 that has the following zeros.
0, -4, (multiplicity ), 2
leave your answer in factored form.

Step-by-step explanation:

Since there is a multiplicity at x=-4, that would meant that that part of the factor would have to have an even degree. This means that it would have to be 2.

This would give you

Step-by-step explanation:

The zeros of the polynomial are all the values of x for which the function

In this case we know that the zeros are:

,

Now we can write the polynomial as a product of its factors

Note that the polynomial is of degree 4 because the greatest exponent of the variable x that results from multiplying the factors of f(x) is 4

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step-by-step explanation: