Respuesta :

[tex]\frac{x^3+2x^2-3kx-10}{x+3}[/tex]

if a polynomial P(x) is divided by a binomial (x-c) then the remainder is equal to P(c).

where c=-3

[tex]\begin{gathered} P(-3)=-19+9k=8 \\ \text{ }9k=8+19\text{ } \\ 9k=27 \\ k=\frac{27}{9} \\ k=3 \end{gathered}[/tex]

the value of k=3