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Question
If x2 + x + 1 is a factor of the polynomial 3x3 + 8x2 + 8x + 3 + 5k, then the value of k is
Options
0
2/5
5/2
-1
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Solution
Let `f(x) = 3x^2 + 8x^2 + 8x+ 8x + 3 + 5k` be the given polynomial,
Since `(x^2 + x + 1)`is the factor of f(x). Therefore, re`maider will be zero.
Now,
Now,
`-2 + 5k = 0`
`k=2/5`
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