Question

if (x+4) is the factor of
(x²-m2)
then
find
the value of m.​

Answer 1

$\large \boxed{{\boxed{ \underline{ \underline \blue{ \sf{answer : }}}}}}$

$\green{ \sf{if \: (x + 4) \: is \: a \: factor \: of \: (x {}^{2} - m {}^{2}) }} \\ \green{ \sf{x + 4 = 0}} \\ \green{ \sf{x = - 4}} \\ \blue{ \sf{putting \: the \: value \: of \: x \: in \:( x {}^{2} - m { }^{2} ) }} \\ \blue{ \sf{p( x) =x {}^{2} - m {}^{2} }} \\ \blue{ \sf{p( - 4) = ( - 4) {}^{2} - m {}^{2} = 0}} \\ \blue{ \sf{( - 4) \times ( - 4) - m {}^{2} = 0}} \\ \blue{ \sf{16 - m {}^{2} = 0 }} \\ \blue{ \sf{ - m {}^{2} = - 16}} \\ \blue{ \sf{m {}^{2} = 16 }} \\ \blue{ \sf{m = \sqrt{16} }} \\ \boxed{\blue {\sf{m = 4}}}$