Find the value of k i(x-3) is a factor of kx`3-5x`2+2kx-3
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Solution:
Let p(x) = kx³-5x²+2kx-3
It is given that,
(x-3) is a factor of p(x).
p(3) = 0
=> k(3)³-5(3)²+2k(3)-3 =0
=> 27k-45+6k-3=0
=> 33k-48=0
=> 33k = 48
=> k = 48/33
=> k = 16/11
Therefore,
k = 16/11
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