Question

2x3 - 14x + k by x + 3​

Answer 1

$k = 12$

Step-by-step explanation:

$Given, \: \: \: \:2 {x}^{3} - 14x + k \: \: \: is \: \: divisible \: \: by \: \: x + 3 \\ then, \: \: \: x + 3 = 0 \: \: or \: \: x = - 3 \\ A/Q, \: \: 2 {x}^{3} - 14x + k = 0 \: \: at \: \: x = - 3 \\ 2 ({ - 3})^{3} - 14( - 3) + k = 0 \\ 2 \times - 27 + 42 + k = 0 \\ - 54 + 42 + k = 0 \\ - 12 + k = 0 \\ k = 12$