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यदि px3 + 9x2 + 4x – 10 को (x + 3) से भाग देने पर -22 शेषफल प्राप्त होता है तो p का मान ज्ञात कीजिए।

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जब Px3 + 9x3 + 4x – 10 को (x + 3) से भाग किया जाता है तो x + 3 = 0 या x = -3 रखने पर

शेषफल = P(-3)3 + 9(-3)2 + 4(-3) – 10 = -22

-27P + 81 – 12 – 10 = -22

-27P = -22 – 81 + 22

– 27P = -81

P = -81/27 = 3

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