Q5 of 44 Page 70

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

deg q (x) = deg r (x)

Let g(x) = x + 1

And p(x) = x2 + 3


Then, dividing p(x) by g(x) gives


q(x) = x


and,


r(x) = -x + 3


Deg(r(x)) = Deg(q(x)) = 1


Hence,


g(x) = x + 1


p(x) = x2 + 3


q(x) = x


r(x) = -x + 3


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