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यदि बहुपदों 9x3 + 3x2 – 13 तथा 2x3 – 5x + a को (x – 2) से भाग देने पर समान शेषफल प्राप्त होते हैं तो a का मान ज्ञात कीजिए।

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बहुपद 9x3 + 3x2 – 13 को (x – 2) से भाग किया जाता है तो x – 2 = 0 या x = 2 रखने पर,

शेषफल = 9(2)3 + 3(2)2 – 13 = 72 + 12 – 13 = 71

बहुपद 2x3 – 5x + a को (x – 2) से भाग किया जाता है तो x – 2 = 0 या x = 2 रखने पर,

शेषफल = 2(2)3 – 5(2) + a = 16 – 10 + a या 6 + a

प्रश्नानुसार, 6 + a = 71

a = 71 – 6 = 65

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