Question

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

Answer 1

Step-by-step explanation:

Let p(x)=x

3

−2mx

2

+16 and g(x)=x+2

Now, g(x)=x+2

x+2=0

x=−2

If p(x) is divisible g(x), then p(−2) must be 0.

Thus, p(−2)=0

⇒(−2)

3

−2m(−2)

2

+16=0

⇒−8−8m+16=0

⇒−8m=−8

⇒m=1

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