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 p (x) = deg q (x)

Let g(x) = 2

And p(x) = 2x2 – 2x + 14


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


q(x) = x2 – x + 7


and,


r(x) = 0


Deg(p(x)) = Deg(q(x)) = 2


Hence,


g(x) = 2


p(x) = 2x2 – 2x + 14


q(x) = x2 – x + 7


r(x) = 0


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