Question

please answer me please full explanation ​

Answer 1

Answer:

$x + 4 \\ x = ( - 4)$

now,

$p(x) = {x}^{2} + mx + 24 \\ p( - 4) = { - 4}^{2} + m + 24 \\ p( - 4) = 16 + 24 + m \\ p( - 4) = 40 + m \\ m = - 40$

Answer 2

Answer:

by factor theorem, if (x+4) is a factor of p(x) = x²+mx+24

then, p(-4) = 0

p(-4) = (-4)²+m(-4)+24

0 = 16-4m+24

0 = 40-4m

4m = 40

m = 10

I hope it helps you :-)

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