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Q. Explain Set Intersection?
Ans.
Set IntersectionSuppose your school needs to know which students are taking both art and business this year. If A is the set of students taking art and B is the set of students taking business, then the students who are taking both classes are common to A and B, or the intersection of A and B.
The intersection of two sets A and B, written A ∩ B, is the set of all elements which are common to both A and B. This can be written as.
A ∩ B = { x| x ∈ A and x ∈ B }The key word in this definition is and. The elements must be in both A and B.
(a) Using interpolation, give a polynomial f ∈ F 11 [x] of degree at most 3 satisfying f(0) = 2; f(2) = 3; f(3) = 1; f(7) = 6 (b) What are all the polynomials in F 11 [x] which
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