PLEASE HELP ME, I DON'T UNDERSTAND!

Hello,

First of all, dividing by 0 is not defined we will take x different from 1/3 (because -1+3x= 0 <=> x = 1/3)

Then, dividing this polynomial by (-1+3x) means that you have to have Q(x), a polynomial of degree 1 and R a real number such that

Either you do the division and you can select the correct answer or you check the different answer to identify the correct one.

For instance, for the first answer, let's estimate

and this is not equal to our initial polynomial, so this is not the correct answer.

Second Answer.

And this is our initial polynomial. So this is the

Thank you.

PS: in this example, you can even notice the following (so it makes the division trivial)

c is the answer

step-by-step explanation: