Question
For what value of m is x3 - 2mx2 + 16 divisible by x + 2 ?
✓
Answer
Let p(x) = x3 - 2mx2 + 16
Since, p(x) is divisible by (x + 2), then remainder = 0
P(-2) = 0
⇒ (-2)3 - 2m(-2)2 + 16 = 0
⇒ -8 - 8m + 16 = 0
⇒ 8 = 8m
m = 1
Hence, the value of m is 1 .
Since, p(x) is divisible by (x + 2), then remainder = 0
P(-2) = 0
⇒ (-2)3 - 2m(-2)2 + 16 = 0
⇒ -8 - 8m + 16 = 0
⇒ 8 = 8m
m = 1
Hence, the value of m is 1 .
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