Algebra-2

To write the polynomial in standard form given the zeros (x = 4) (with multiplicity 2) and (x = -1), we will first write the polynomial in its factored form and then expand it.

 

Given Zeros:

1.Zero: (x = 4) (multiplicity 2) corresponds to the factor

2.Zero: (x = -1) corresponds to the factor (x + 1)

 

Polynomial in Factored Form:

The polynomial can be expressed as:

 

Expanding the Polynomial:

First, expand

 

Now, multiply this result by (x + 1):

Using the distributive property:

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