3. Find the value of K, if x-3 is a factor of kx-kx+ 3kx-k.
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Answer:
Step-by-step explanation:
Given p(x) = k²x³ - kx² + 3kx - k
given one zero of p(x) = 3
then,
p(3) = 0
k²(3)³ - k(3)² + 3k(3) - k = 0
27k²-9k+9k - k = 0
27k²-k=0
k(27k - 1) = 0
27k-1=0
27k = 1
k = 1/27
So,
k = 1/27
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