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If 3 is a Zero of the Polynomial `2x^2 + X + K`, Find the Value of K. - Mathematics

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Question

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

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Solution

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

`2(3)^2 + 3 + k = 0`
`⇒ 21 + k = 0`
`⇒ k = – 21`

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Chapter 2: Polynomials - Exercises 3

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 2 Polynomials
Exercises 3 | Q 6

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