find the value of m , if the polynomial x^3 - 2mx^2 + 16 is divisible by x-2
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Given Here:-
- equation ( x³ - 2mx² +16)=0 .
and,
- (x-2) is a factor of this equation .
If (x-2) is a factor of this,
So, X = 2 exits this value in this equation
So, keep value of this equation .
we get,
=> (2)³-2m(2)²+16 = 0
=> 8 - 8m +16 =0
=> - 8m = - 8
=> m = -8/8 .
=>m = -1
Hence:-
- Value of m = -1 .
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