Question

If x 4 -2x ​3 +3x 2 -mx+5 is exactly divisible by (x-3) then find m

Answer 1

p(x)=x^4-2x^3+3x^2-mx+5
g(x)=x-3
      =x-3
      =x=3
so,p(3)=3^4-2(3)^3+3(3)^2-m(3)+5
           =81-54-27-3m+5
           =-3m+5 (remainder is -3m+5)
      3m=5
        m=5/3