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If -2 is a Zero of the Polynomial `3x^2 + 4x + 2k` Then Find the Value of K. - Mathematics

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If -2 is a zero of the polynomial `3x^2 + 4x + 2k` then find the value of k. 

 

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Solution

Given: x = –2 is one zero of the polynomial `3x^2 + 4x + 2k`
Therefore, it will satisfy the above polynomial.
Now, we have 

`3(–2)^2 + 4(–2)1 + 2k = 0`
`⇒ 12 – 8 + 2k = 0`
`⇒ k = – 2`

Concept: Geometrical Meaning of the Zeroes of a Polynomial
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