Algebra-2

To divide the polynomial by (x + 2), we can use synthetic division. Here's how to perform the division step-by-step:

Step 1: Set up the synthetic division

Since we are dividing by (x + 2), we will use -2 for synthetic division (the root of the divisor x + 2). The coefficients of the polynomial are (5, 10, -5, -10).

The setup for synthetic division looks like this:

 -2 |  5   10   -5   -10

    |

Step 2: Bring down the first coefficient

Bring down the 5:

 -2 |  5   10   -5   -10

    |

    |  5