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Question
Find the value of k, if 3x – 4 is a factor of expression 3x2 + 2x − k.
Solution
3x – 4 is a factor of g(x) = 3x2 + 2x − k.
∴ `f(4/3) = 0`
`\implies 3(4/3)^2 + 2(4/3) - k = 0`
`\implies 16/3 + 8/3 - k = 0`
`\implies 24/3 = k`
`\implies` k = 8
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