Find the value of k, if 3x – 4 is a factor of expression 3x2 + 2x − k.

Find the value of k, if 3x – 4 is a factor of expression 3x² + 2x − k.

Sum

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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