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Question
For what value of k, is −3 a zero of the polynomial x2 + 11x + k?
Solution
We know that if ` x = a` is zeros polynomial, then `x -a` is a factor of `f(x)`
Since -3 is zero of f(x). Therefore x + 3 is a factor of f (x)
Now, we divide `f(x) = x^2 + 11x + k` by `g(x)= x+3` to find the value of k.
Now, Remainder = 0
`k - 24 = 0`
`k = 24`
Hence, the value of k is 24 .
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