Question

Find the value of m, if x + 4 is a factor of the polynomial x² + 3x + m. * 2 points -4 4 3 -3

Answer 1

Answer:

-4

Explanation:

If $x$+4 is a factor of p($x$). Then,

$x$+4=0

$x$=0-4

∴$x$= -4

p($x$)= $x^{2}$+3$x$+m

Now, since we know the value of $x$, we will substitute it in the above. So we get,

$(-4)^{2}$+ 3x-4+m=0

16+ (-12)+m=0

16-12+m=0

4+m=0

m=0-4

   = -4

∴ m=-4