Question

Determine the value of m, if (x+3) is a factor of x^3 - 3x^2 - mx + 24.

Answer 1

▶Here's your answer

⏩By factor theorem..

➡x +3 =0

➡x =-3

${ - 3}^{3} - 3( { - 3}^{2} ) + 3m + 24 = 0 \\ \\ - 27 - 27 + 3m + 24 = 0 \\ \\ - 54 + 3m + 24 = 0 \\ \\ 3m = 54 - 24 \\ \\ 3m= 30 \\ \\ m = 10$

Hope it helps ❗