Question

give an example for the polynomial degree of P of x is equal to degree of q of x​

Answer 1

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Here is your example:
$p(x) = 12 {x}^{2} + 8x + 24 \\ q(x) = 3 {x}^{2} + 2x + 6$

Here, degree of p(x) = degree of q(x) = 2
g(x) = 4 and r(x) = 0

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