Algebra-2

To analyze Nina's polynomial long division of by (x - 1), let's go through the synthetic division process step by step and identify her mistake.

Synthetic Division Steps:

Set Up the Synthetic Division:

Coefficients of the polynomial: ( 1, 2, 0, -3, -5 ).

Since we are dividing by (x - 1), we use 1 for synthetic division.

The initial setup looks like this:

   1 | 1   2   0  -3  -5

     |    

Bring Down the First Coefficient:

Bring down the first coefficient 1:

Click "Show Answer" to reveal the answer and analysis