Question

example for degree of quotient is equal to degree of remainder

Answer 1

take
${x}^{4} + 2 {x}^{3} +x + 1 = {x}^{3} (x + 2) + (x + 1) \\ \\ here \: quetient \: is \: x + 1 \: thus \: its \: degreeis \: same \: as \: that \: of \: remainder(x + 1)ie \: 1$