Need help using synthetic division! ​

Step-by-step explanation:

Since we're dividing the polynomial by , we'll be using -1 to start the division.

Before setting the division up, let's list the coefficients of from descending powers and the constant.

The coefficient of is 3

Since we don't see an , the coefficient will be 0.

The coefficient of is 5.

Lastly, the constant, which is the term without the is -1.

Refer to the attached picture before continuing.

After referring to the picture, we now have the coefficients for the quotient.

The coefficient of is 3.

The coefficient of is -3.

The constant is 8.

Lastly, since the last number is not zero, it's the remainder just like regular division. This can be tricky to remember, but -9 is not the actual remainder.

The remainder is actually .

Now putting all the pieces together, we get:

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.