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Answer:
when p =1, then
13+19(1)/4
32/4
=8
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Step-by-step explanation:
Given :-
Let P(x) = a0 + a1x + ...+ an x^n be a polynomial with integer coefficients and ai € (0,1) for all i = 0,1,2,...,n.
Given P(√2) = 13+19√2
To find :-
Find the value of P(1)/4 ?
Solution :-
Given that :
P(x) = a0 + a1x + ...+ an x^n is a polynomial with integer coefficients and ai € (0,1) for all i= 0,1,2,...,n.
Given that P(√2) = 13+19√2
So it is clear that P(x) = 13+19x
It is a linear Polynomial
Now Put x = 1 then
P(1) = 13+19(1)
=> P(1) = 13+19
=> P(1) = 32
The value of P(1) = 32
Now,
The value of P(1)/4
=> P(1)/4 = 32/4
=> P(1)/4 = 8
Answer:-
The value of P(1)/4 for the given problem is 8
Points to know:-
- P(x) = a0 + a1x + ...+ an x^n is an nth degree Polynomial.
- P(x) = ax+b is a linear Polynomial.
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