Algebra-2

To find the polynomial in standard form given the zeros (x = -1) (with multiplicity 2), (x = 3), and (x = 0), let's derive it step by step.

Given Zeros:

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

2.Zero: (x = 3) corresponds to the factor (x - 3)

3.Zero: (x = 0) corresponds to the factor (x)

 

Polynomial in Factored Form:

The polynomial can be expressed as:

 

Expanding the Polynomial:

Expand :

Now multiply this result by (x - 3):

 

Using the distributive property:

Click "Show Answer" to reveal the answer and analysis