User Crocogator

Crocogator

Member for 4 years
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Jul 31, 2020
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Sep 6
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Jan 2, 2020
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Oct 12, 2019
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Apr 24, 2020

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algebra-precalculus

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polynomials

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roots

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Find a such that $ax^{17}+bx^{16}+1$ is divisible by $x^2-x-1$.

Oct 13, 2019

If $\alpha, \beta,\gamma$ be the roots of $2x^3+x^2+x+1=0$, show that..........?

Dec 30, 2019

If $\alpha$, $\beta$, $\gamma$ and $\delta$ be the roots of the polynomial $x^4+px^3+qx^2+rx+s$, prove the following.

Oct 12, 2019

For $a \in \mathbb R$, find polynomials $P$ such that $(x^2-ax+18)P(x)-(x^2+3x)P(x-3)=0$

Oct 14, 2019

Find the polynomial equation of the lowest degree with rational coefficients whose one root is.......?

Oct 11, 2019

The polynomial $x^{2k}+1+(x+1)^{2k}$ is not divisible by $x^2+x+1$. Find the value of $k \in \mathbb N$. [duplicate]

Oct 13, 2019

Two circles each of which passes through the centre of the other intersect points M and N.

Oct 16, 2019

Let $a,b,c$ be integers, and suppose the equation.......... $\left(\frac{1}{q^2}\le \left|f\left(u\right)\right|\le K\left|u-r\right|\right)$........?

Apr 2, 2021

Solving the cryptarithm $\mathrm{TWO}+\mathrm{TWO}=\mathrm{FOUR}$ in base $10$ and base $7$

Nov 5, 2020

Show that $\frac{(2n-1)!}{(n)!(n-1)!}$ is odd or even according as to whether $n$ is or is not a power of $2$.

Jan 4, 2020