Question

6. Find the value of m, if x + 4 is a factor of the
polynomial x2 + 3x + m.​

Answer 1

Hope it helps you...✌️✌️

Answer 2

x+4=0

x=(-4)

Substitute x=(-4) in the given equation..

$\: \: \: \: \: \: \: \: \: p(x) = {x}^{2} + 3x + m \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: p( - 4) = {( - 4)}^{2} + 3( - 4) +m \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 16 - 12 + m \\ \: \: \: \: \: \: \: = 4 + m \\ m = ( - 4)$