Category: Algebra

Question Number 57000 by pieroo last updated on 28/Mar/19 $$\mathrm{If}{(\mathrm{x}+2)}^2\mathrm{is}\mathrm{a}\mathrm{factor}\mathrm{of}\mathrm{the}\mathrm{polynomial}$$$$\mathrm{f}\left(\mathrm{x}\right)={\mathrm{mx}}^3+{\mathrm{x}}^2+\mathrm{x}+\mathrm{n},\mathrm{find};$$$$\mathrm{the}\mathrm{values}\mathrm{of}\mathrm{m}\mathrm{and}\mathrm{n}.$$ Commented by maxmathsup by imad last…

Question Number 188069 by mustafazaheen last updated on 25/Feb/23 $$howissolution$$$$\int \sqrt{e^x}\ln \sqrt{e^x}dx=?$$ Commented by 0670322918 last updated on 25/Feb/23 Terms of…

Question Number 122523 by greg_ed last updated on 17/Nov/20 Answered by 676597498 last updated on 17/Nov/20 $$A=\frac{x+x^2}{x^2-x}=\frac{x(1+x)}{x(x-1)}=\frac{x+1}{x-1}\mathrm{\forall }x⩾0$$$$or$$$${A}=\frac{−{x}+{x}^{\mathrm{2}} }{{x}^{\mathrm{2}} −−{x}}=\frac{{x}\left({x}−\mathrm{1}\right)}{{x}\left({x}+\mathrm{1}\right)}=\frac{{x}−\mathrm{1}}{{x}+\mathrm{1}}\:\forall{x}<\mathrm{0}…

Question Number 187998 by Mingma last updated on 24/Feb/23 Answered by mahdipoor last updated on 24/Feb/23 $$=\frac{(16-2)(16+2)}{18\times 13}\times \frac{(16-3)(16+3)}{19\times 12}\times \dots \times \frac{(16-8)(16+8)}{24\times 7}$$$$=\frac{14}{13}\times \frac{13}{12}\times \dots \times \frac{8}{7}=\frac{14}{7}=2$$ Commented by Mingma last…

Question Number 187980 by Mingma last updated on 24/Feb/23 Answered by Rasheed.Sindhi last updated on 24/Feb/23 $$\bullet x^2+bx+c=0$$$$\alpha +\beta =-b,\alpha \beta =c$$$$\bullet x^2+bx-c=0$$$$\gamma+\delta=−{b}\:\:,\:\:\gamma\delta=−{c}…