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can you explain synthetic divsion please?

let finish solving the problem and then I will explain

Then, can you please show the steps for doing the polynomial long division to divide out the factors

there is only one integer factor: (x-2).
|dw:1357004129003:dw|

the other factor is (x-2)

What are the numbers of the thrid and forth row?

oh, I am beginning to see how synethetic divsion works

oh, no wonder it didn't work anymore

so that's how you factor it

(x-2)(x^4-4x^3-8x^2+24x+35)
This is the simplest form? Can't (x^4-4x^3-8x^2+24x+35) be factor too?

ok, i will continue to try

I got it
(x^4-4x^3-8x^2+24x+35)=(x^2-2x-7)(x^2-2x-5)

so when (x^5-6x^4+40x^2-13x-70) is factored, it will be (x-2)(x^2-2x-7)(x^2-2x-5)
Is it correct?

Yes. That's it !

Thank you so much everyone for helping me with factoring! I learnt so much from you guys!! Thanks!!

I plug in variables and did some algebra and trial and error

o_o

ya, it was long...

ya, I did something similar

That's a really good technique.

Great! Thank you for the enjoyable session!

Thank you very much, guys!! :)