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## Question 5. Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm

Question 5. Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm

We can write  many such examples
deg p(x) = deg q(x)
We can write  many such examples
P(x)  = x²   , q(x) = x²  g(x) = 1 R(x) = 0

(ii) deg q(x) = deg r(x)

Q(x) = x , R(x) = x , p(x) = x^3 + x   g(x) = x²

(iii) deg r(x) = 0
Q(x) = 1 , R(x) = 1 , p(x) = x+1, g(x) = x

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Question 5. Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the divi