For what value of m is x³ - 2mx² + 16 is divisible by x+2
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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 = 8 m
m = 1
Hence, the value of m is 1 .
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Answer:
the value of m is 1
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