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If -4 is a Zero of the Polynomial `X^2 – X – (2k + 2) is –4`, Then Find the Value of K.

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प्रश्न

If -4 is a zero of the polynomial `x^2 – x – (2k + 2) is –4`, then find the value of k. 

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उत्तर

Given: x = –4 is one zero of the polynomial `x^2 – x – (2k + 2)`
Therefore, it will satisfy the above polynomial.
Now, we have 

`(–4)^2 – (–4) – (2k + 2) = 0`
`⇒ 16 + 4 – 2k – 2 = 0`
`⇒ 2k = – 18`
`⇒ k = 9`

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अध्याय 2: Polynomials - Exercises 3

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 2 Polynomials
Exercises 3 | Q 7

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