Question

Can someone show me the step by step on how to find the remainder of this monomial and polynomial please? Whats the remainder? (x^2-2x-5-1) / (x-3)

Answer 1

Use synthetic division

Answer 2

thats the thing im really bad at that. Can you just help me step by step, this isnt my problem i just made an example so i can work off it easier cause i dont have many examples

Answer 3

Alrighty, can you at least get the setup though?

Answer 4

Like i said I'm terrible at this. I think you do something like multiply of fx-3 from x^2-2x-5-1 and go from there somehow but that's all i know :/

Answer 5

So if your equation is x^2-2x-5-1, we should start off by combining like terms. So it would be x^2-2x-6
This is how it would look like for synthetic:

Answer 6

ok i seen that before so makes sense

Answer 7

Do you understand where everything came from? The 3, the 1, -3, -6?

Answer 8

*-2

Answer 9

Yeah you made the 3 a positive and took the coefficients mhm

Answer 10

Good, so what we do now is start dividing, our first step is to bring down the 1, multiply by the 3 and add it to the next:

And after that just keep on going till you either get a reminder or a perfect factor.