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