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m व n के मान ज्ञात कीजिए यदि (x – 1) तथा (x + 2), बहुपद 2x3 + mx2 + nx – 14 के गुणनखण्ड हैं।

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यदि (x – 1), बहुपद 2x3 + mx2 + nx – 14 का एक गुणनखण्ड है तो x – 1 = 0 या x = 1 रखने पर

2(1)3 + m(1)2 + n(1) – 14 = 0

2 + m + n – 14 = 0

m + n = 12 ………….(1)

यदि (x + 2), बहुपद 2x3 + mx2 + nx – 14 का एक गुणनखण्ड है तो x + 2 = 0 या x = -2 रखने पर

2(-2) + m(-2)2 + n(-2) – 14 = 0

-16 + 4m – 2n – 14 = 0

समीकरण (1) में m का मान रखने पर 9 + n = 12

n = 12 – 9 = 3

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