Question

If ( x+ 4) is a factor of the
polynomial ( x2 + mx + 24), then
find the value of m. *

​

Answer 1

Hey mate ,

This is your answer ,

x+4 is factor of x

2+3x+m

x+4=0

x=−4 is zero of polynomial

Put it in polynomial

(−4) *2

+3(−4)+m=0

16−12+m=0

m=−4

Hope it helps

Thank you

Have a great time ahead

Answer 2

$\;\qquad\quad\;\;\large{\odot\;\;\underline{\underline{\bf{\red{Required\;Answer↷ }}}}}$

$\implies\bold{x+4\;is\;a\;factor\;of\;x}$

$\implies{2+3x+m}$

$\implies{x+4=0}$

$\implies{x=-4}$

Then,

Put this in polynomial.

$\implies{-4of2}$

$\implies{3(-4)+m=0}$

$\implies{16-12+m=0}$

$\implies\huge{m=-4}$

$\large{\boxed{\mathfrak{\overbrace{\underbrace{\fcolorbox{r}{red}{Hope It Helps. ♡★❥✌ }}}}}}$