Question

If –2 is a zero of the polynomial 3x² + 4x + 2k, then find the value of k.

Answer 1

Given: x = –2 is one zero of the polynomial 3x² + 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