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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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Question

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

Sum
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Solution

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

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Chapter 2: Polynomials - EXERCISE 2C [Page 66]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 2 Polynomials
EXERCISE 2C | Q 9. | Page 66

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