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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 x2 – x – (2k + 2) is –4, then find the value of k.

योग
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उत्तर

Given: x = –4 is one zero of the polynomial x2 – 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 - EXERCISE 2C [पृष्ठ ६६]

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 2 Polynomials
EXERCISE 2C | Q 7. | पृष्ठ ६६

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