*p²/4+p/3+ 1/9 हा विस्तार कोणत्या द्विपदीचा आहे?*
1️⃣ (p/2 + 1/3)²
2️⃣ (p/2 - 1/3)²
3️⃣ (p/4 + 1/9)²
4️⃣ यांपैकी नाही
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Answer:
P is a 4 term polynomial which satisfies P(1)=7, P(2)=8, P(3)=9, P(4)=10, P(5)=35. What does P(6)=?
………………………………………………………………………………………………..
Let
P(x)=A(x−1)(x−2)(x−3)(x−4)
+B(x−1)(x−2)(x−3)
+C(x−1)(x−2)
+D(x−1)
+E
P(1)=E=7
P(2)=D+7=8⟹D=1
P(3)=2C+2+7=9⟹C=0
P(4)=6B+3+7=10⟹B=0
P(5)=24A+4+7=35⟹A=1
So
P(x)=(x−1)(x−2)(x−3)(x−4)+x−1+7
P(6)=120+6−1+7=132
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