Question

give examples of polynomials degp(x) =degq(x)

Answer 1

$\underline{\textsf{To find:}}$

$\textsf{Polynomials p(x) and q(x) such that deg[p(x)]=deg[q(x)]}$

$\underline{\textsf{Solution:}}$

$\textsf{Here, I have listed some polynomials p(x) and q(x) in which deg[p(x)]=deg[q(x)]}$

$\begin{array}{|c|c|c|c|}\cline{1-4}&&&\\\textsf{p(x)}&\textsf{q(x)}&\textsf{Degree of p(x)}&\textsf{Degree of q(x)}\\&&&\\\cline{1-4}&&&\\\mathsf{2x-3}&\mathsf{9x+1}&\mathsf{1}&\mathsf{1}\\&&&\\\mathsf{4x^2-3x+7}&\mathsf{7X^2+9x-1}&\mathsf{2}&\mathsf{2}\\&&&\\\mathsf{-11x^3+8x^2-2x-3}&\mathsf{-5x^3+7x^2-4x+1}&\mathsf{3}&\mathsf{3}\\&&&\\\cline{1-4}\end{array}$