Question

for what value of m is x3-2mx2+16 divisible by x+2​

Answer 1

Question:

For what value of m is x^3 - 2mx^2 + 16 divisible by x+2.

To Find:

• Value of m.

Solution:

Let,

p(x) = x^3  - 2mx^2 = 16

Since,

$p(x)$ is divisible by $(x + 2)$, then remainder $= 0$

$P(-2) = 0$

-2^3 - 2m - 2^2 + 16 = 0

$\implies-8 - 8m + 16 = 0$

$\implies8 = 8m$

$\huge \boxed {m = 1}$

Hence,

The value of m is 1.

Answer 2

Answer:

m=1

Step-by-step explanation:

f (-2) = (-2)^3-2(m)(-2)^2+16=0

= -8 - 8m+16=0

= 8- 8m=0

8=8m

1=m