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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