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

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

#### 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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