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प्रश्न
If (x + a) is a factor of (2x2 + 2ax + 5x + 10), then find the value of a.
बेरीज
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उत्तर
Given: (x + a) is a factor of 2x2 + 2ax + 5x + 10
We have
x + a = 0
⇒ x = –a
Since, (x + a) is a factor of 2x2 + 2ax + 5x + 10
Hence, It will satisfy the above polynomial
∴ 2(–a)2 + 2a(–a) + 5(–a) + 10 = 0
⇒ –5a + 10 = 0
⇒ a = 2
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