If Px is a polynomial of degree 3 such that Pi - 1 i - 1- i - 1-2-3-4 then find P5-

P(i)=1i+1i={1, 2, 3, 4} P(5)=15+1i={1, 2, 3, 4}.∴ P(5)={1, 2, 3, 4} ...

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Remainder Theorem

If Px is a po...

Question

If P(x) is a polynomial of degree 3 such that P(i) = $\frac{1}{i + 1} \forall i = {1, 2, 3, 4}$ then find P(5).

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4

P (1) = 2, P (2) = 8, P (3) = 18, P (4) = 32

P (5)

P (x)

4

P (1) = 2, P (2) = 5, P (3) = 10

P (4) = 17

P (5) =

p (x)

3

3 x^{2} - 8 x + 5

p (1) = 19

p (\frac{5}{3}) = 25

P(x) is a polynomial satisfying P(x+3/2)=P(x) for all values of x. If P(5)=2006, find P(8).

4

2

P (1) = 1, P (2) = 16, P (3) = 81, P (4) = 256

P (5)

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