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Give examples of polynomials p(x), g(x),...

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)

Text Solution

Verified by Experts

The correct Answer is:
i] we get `2x^(2) + 6 = 2 (x^(2) +3) + 0 = 2x^(2) + 6`
ii] We have `2x^(3) + 2x^(2) - 4x - 2 = (x^(2) - 2) (2x +1) + x^(2)`
iii] we get, `3x^(2) + 6 = (3x) xx x + 6`
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