PLEASE HELP, I'VE ASKED 2 TIMES BEFORE THIS AND STILL NO ANSWER. MY TEACHERS ARE OF NO HELP EITHER. I WILL MARK BRAINLIEST.

1.) The Remainder Theorem states that if a polynomial is divided by (x – a), the remainder is the value of the function at a. So, if (x – a) is a factor of P(x), then P(a) = 0. Determine whether the given binomial is a factor of the polynomial P(x).

2.) if there is a remainder then it is not a factor

3.) x-2 divided by x^3+5x^2-2x+9        

 across you have

×

2           1 5 -2 9

+              2  14 24

          1   7   12    33

your remainder is 33 so x-2 is not a factor of x^3+5x^2-2x+9

I hope this is good enough: