Question Number 175346 by sciencestudent last updated on 27/Aug/22
$${Solve}\:{it}\:{by}\:{horner}'{s}\:{method}. \\ $$$$\left(\mathrm{2}{x}^{\mathrm{3}} {y}^{\mathrm{2}} +\mathrm{3}{x}^{\mathrm{2}} {y}−\mathrm{4}{x}+\mathrm{5}{y}−\mathrm{12}\right)\boldsymbol{\div}\left({x}−\mathrm{3}\right) \\ $$
Answered by cortano1 last updated on 28/Aug/22
$$\:\:\begin{array}{|c|c|c|}{\bullet}&\hline{\mathrm{2}{y}^{\mathrm{2}} }&\hline{\mathrm{3}{y}}&\hline{−\mathrm{4}}&\hline{\mathrm{5}{y}−\mathrm{12}}\\{\mathrm{3}}&\hline{\ast}&\hline{\mathrm{6}{y}^{\mathrm{2}} }&\hline{\mathrm{18}{y}^{\mathrm{2}} +\mathrm{9}{y}}&\hline{\mathrm{54}{y}^{\mathrm{2}} +\mathrm{27}{y}−\mathrm{12}}\\{}&\hline{\mathrm{2}{y}^{\mathrm{2}} }&\hline{\mathrm{6}{y}^{\mathrm{2}} +\mathrm{3}{y}}&\hline{\mathrm{18}{y}^{\mathrm{2}} +\mathrm{9}{y}−\mathrm{4}}&\hline{\underset{{remainder}} {\underbrace{\mathrm{54}{y}^{\mathrm{2}} +\mathrm{32}{y}−\mathrm{24}}}}\\\hline\end{array} \\ $$
Commented by sciencestudent last updated on 30/Aug/22
$${what}\:{is}\:{the}\:{quotient}? \\ $$
Commented by sciencestudent last updated on 30/Aug/22
$${quotient}? \\ $$
Commented by sciencestudent last updated on 30/Aug/22
$${Please}\:{help}\:{me}\:\:{mr}\:{W}! \\ $$
Commented by cortano1 last updated on 30/Aug/22
$${the}\:{quotient}\:{is}\:\mathrm{2}{y}^{\mathrm{2}} {x}^{\mathrm{2}} +\left(\mathrm{6}{y}^{\mathrm{2}} +\mathrm{3}{y}\right){x}+\mathrm{18}{y}^{\mathrm{2}} +\mathrm{9}{y}−\mathrm{4} \\ $$