Question
सरलतम रूप में एक ऐसा अंतर्वेशन बहुपद प्राप्त कीजिए जो निम्नलिखित आंकड़ों को आसंजित करता हो :
| x | -1 | 0 | 1 | 2 |
| f (x) | 3 | -4 | 5 | -6 |
Answer :
Word Count : 95
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दिए गए बिंदु हैं ((-1,3), (0,-4), (1,5), (2,-6))। चार बिंदुओं के लिए सरलतम अंतर्वेशन बहुपद घात 3 का होगा। मान लें (f(x)=ax^3+bx^2+cx+d)। (x=0) रखने पर (d=-4)। (x=1) रखने पर (a+b+c-4=5 \Rightarrow a+b+c=9) …(1)
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