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Question
For what value of k, is −2 a zero of the polynomial 3x2 + 4x + 2k?
Solution
We know that if `x = a` is zero polynomial then `x-a` is a factor of `f(x)`
Since - 2 is a factor of `f(x)`.Therefore `x+2` is a factor of `f(x)`
Now, we divide`f(x) = 3x^2 + 4x + 2x ` by `g(x)=x + 2` to find the value of k
Now, Remainder = 0
`2k +4=0`
`2k = -4`
`k = (-4)/2`
`k = -2 `
Hence, the value of k is `-2 `
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