Mathematics: CAN SOMEONE PLEASE HELP ME!

CAN SOMEONE PLEASE HELP ME! - id15236019, samueldfhung

Ответ:

cbelew0001ouje4i

30.01.2022

$\huge\fbox{Answer ☘}$

$f(x) = 2x {}^{3} - 10x + k \\ \\\bold{ taking \: \: \: x = 2 \: ,} \\ \bold{we \: get \: ( \: - 23) \: as \: the \: remainder !}\\ \\ \bold{therefore \: ,} \\\\f(2) = 2(2) {}^{3} - 10(2) + k = - 23 \\ \\ 2(8) - 20 + k = - 23 \\ \\ 16 - 20 + k = - 23 \\ \\ - 4 + k = - 23 \\ \\ k = - 23 + 4 \\ \\ \color{pink}\fbox{k = - 19}$