Category: Algebra

Question Number 97067 by student work last updated on 06/Jun/20 $$\mathrm{if}\mathrm{p}\mathrm{is}\mathrm{the}\mathrm{natural}\mathrm{number}\mathrm{then}\mathrm{what}\mathrm{is}\mathrm{the}\mathrm{degree}\mathrm{of}$$$${\mathrm{x}}^{6\mathrm{p}+1}+{3\mathrm{x}}^{4\mathrm{p}-3}+{4\mathrm{x}}^{8\mathrm{p}-10}+8\mathrm{polynomial}?$$ Commented by mr W last updated on…

Question Number 97051 by john santu last updated on 06/Jun/20 $$\mathrm{what}\mathrm{is}\mathrm{the}\mathrm{perimeter}\mathrm{of}\mathrm{a}\mathrm{regular}$$$$\mathrm{dodecagon}\left(12\mathrm{sides}\right)\mathrm{whose}$$$$\mathrm{area}\mathrm{is}24+12\sqrt{3}?$$ Commented by bemath last updated on 06/Jun/20 $$\mathrm{let}\:\mathrm{the}\:\mathrm{sides}\:\mathrm{of}\:\mathrm{dodecagon}\:\mathrm{is}\:{a}…

Question Number 31496 by abdo imad last updated on 09/Mar/18 $$leta\in ]0,\pi [andA\left(x\right)=x^{2n}-2cos\left(na\right)x^n+1$$$$1)factorizeinsideC\left[x\right]A\left(x\right)$$$$2)factorizeinsideR\left[x\right]A\left(x\right).$$ Commented by abdo imad last updated…

Question Number 31495 by abdo imad last updated on 09/Mar/18 $$letgivep\left(x\right)={(x+j)}^n-{(x-j)}^{n}withj=e^{i\frac{2\pi }{3}}$$$$1)findrootsofp\left(x\right)$$$$2)factorizeinsideC\left[x\right]p\left(x\right)$$$$3)factorizeinsideR\left[x\right]p\left(x\right).$$ Terms of Service Privacy…

Question Number 31494 by abdo imad last updated on 09/Mar/18 $$provethat{x}^{2}divide{(x+1)}^{\underset{}{n}}-nx-1.nintegr.$$ Commented by Rasheed.Sindhi last updated on 10/Mar/18 $$\:\:\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{n}} −\mathrm{nx}−\mathrm{1}…