Algebra – Page 330

let-z-r-e-i-find-the-value-of-P-n-z-z-z-2-z-2-z-n-z-n-

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Question Number 49241 by maxmathsup by imad last updated on 04/Dec/18 $l e t z = r e^{i θ} f i n d t h e v a l u e o f$ $P_{n} = (z + \bar{z}) (z^{2} + \overset{-^{2}}{z}) \dots . . (z^{n} + \overset{-^{n}}{z}) .$ …

Find-a-polynomial-f-x-Q-x-such-that-its-main-coefficient-is-1-and-2-3-V-f-

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Question Number 49237 by cesar.marval.larez@gmail.com last updated on 04/Dec/18 $F i n d a p o l y n o m i a l f (x) \in Q [x] s u c h$ $t h a t i t s m a i n c o e f f i c i e n t i s 1 a n d$ $(\sqrt{2} + \sqrt{3}) \in V (f)$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Find-the-maximum-common-divisor-of-the-folllwing-polynomials-f-x-x-4-5x-3-4x-2-2x-and-g-x-3x-4-x-3-4x-2-in-Q-x-f-x-2x-2-2-and-g-x-x-4-3x-3-x-2-3x-2-in-R-x-

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Question Number 49238 by cesar.marval.larez@gmail.com last updated on 04/Dec/18 $F i n d t h e m a x i m u m c o m m o n d i v i s o r$ $o f t h e f o l l l w i n g p o l y n o m i a l s :$ $∙ f (x) = x^{4} + 5 x^{3} - 4 x^{2} - 2 x a n d$ $g (x) = - 3 x^{4} - x^{3} + 4 x^{2} i n Q [x] .$ $$\bullet{f}\left({x}\right)=\mathrm{2}{x}^{\mathrm{2}} −\mathrm{2}\:{and}\:{g}\left({x}\right)={x}^{\mathrm{4}}…

Let-A-a-conmutative-ring-with-1-not-necessarily-a-whole-domain-Study-the-structure-that-has-A-x-with-the-usual-operations-Is-it-a-ring-always-Is-it-a-whole-domain-How-are-the-units-

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Question Number 49235 by cesar.marval.larez@gmail.com last updated on 04/Dec/18 $L e t A a c o n m u t a t i v e r i n g w i t h 1$ $(n o t n e c e s s a r i l y a w h o l e d o m a i n) .$ $S t u d y t h e s t r u c t u r e t h a t h a s A (x)$ $w i t h t h e u s u a l o p e r a t i o n s$ $I s i t a r i n g a l w a y s ?$ $I s i t a w h o l e d o m a i n ?$ $H o w a r e t h e u n i t s ?$ Terms…

x-2-y-2-

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Question Number 49229 by munnabhai455111@gmail.com last updated on 04/Dec/18 $x^{2} - y^{2}$ Commented by Abdo msup. last updated on 04/Dec/18 $f a c t o r i s a t i o n$ $${x}^{\mathrm{2}} −{y}^{\mathrm{2}}…

n-1-4n-2-10n-6-10n-4-2n-1-2-10n-1-10n-1-

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Question Number 114758 by bobhans last updated on 21/Sep/20 $\underset{n = 1}{\prod^{\infty}} \frac{4 n^{2} (10 n - 6) (10 n - 4)}{{(2 n - 1)}^{2} (10 n - 1) (10 n + 1)} = ?$ Answered by Olaf last updated on 21/Sep/20 $${u}_{{n}} \:=\:\frac{\mathrm{4}{n}^{\mathrm{2}}…

1-x-2x-2-8-

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Question Number 49220 by malwaan last updated on 04/Dec/18 ${(1 + x - {2 x}^{2})}^{8} = ?$ Commented by Abdo msup. last updated on 04/Dec/18 $${S}\:=\sum_{{k}=\mathrm{0}} ^{\mathrm{8}} \:{C}_{\mathrm{8}}…

find-the-largest-and-smallest-coefficient-in-4-3x-5-

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Question Number 114739 by mr W last updated on 20/Sep/20 $f i n d t h e l a r g e s t a n d s m a l l e s t$ $c o e f f i c i e n t i n {(4 + 3 x)}^{- 5} .$ Answered by mr W last updated on 20/Sep/20 $$\left(\mathrm{4}+\mathrm{3}{x}\right)^{−\mathrm{5}}…

In-the-triangle-following-identity-is-true-6R-2-a-2-c-2-a-c-Ptove-that-Euler-s-line-is-antiparallel-to-AC-

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Question Number 180272 by Shrinava last updated on 09/Nov/22 $In the triangle following identity$ $is true : {6 R}^{2} = a^{2} + c^{2}, a \neq c .$ $Ptove that {Euler}^{'} s line is antiparallel to AC .$ Terms of Service Privacy Policy Contact:…

In-triangle-ABC-with-angles-correspondently-Euler-s-line-interescts-BC-at-point-P-Ite-s-put-is-angle-between-Euler-s-line-and-BC-BPH-Then-the-following-is-true-tan-2-c

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Question Number 180273 by Shrinava last updated on 09/Nov/22 $In triangle ABC with angles α, β, γ$ $correspondently, {Euler}^{'} s line interescts$ $BC at point P . {Ite}^{'} s put δ is angle$ $between {Euler}^{'} s line and BC (∠ BPH) .$ $Then the following is true$ $\tan δ = \frac{2 \cos β \cos γ - \cos α}{\sin (β - γ)}$ Terms of Service…

Category: Algebra