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New posts in Polynomials
Finding the value of $ax^4+by^4$
May 10, 2021
proving that $\alpha_1+\alpha_2<-3$ which are the negative roots of $f(x)$
May 10, 2021
Looking for different approach to find $\left(x_1+\frac1{x_1}\right)\left(x_2+\frac1{x_2}\right)\left(x_3+\frac1{x_3}\right)$
May 10, 2021
Prove that $x^8+x^7+x^6-5x^5-5x^4-5x^3+7x^2+7x+6=0$ has no solutions over $\mathbb{R}$
May 10, 2021
Example to show that $\mathbb Z^3$ is not a quotient of $\mathbb Z[X]$
May 10, 2021
Evaluate $\int \frac{\left(x^2+x+3\right)\left(x^3+7\right)}{x+1}dx$.
May 10, 2021
Express roots of equation $acx^2-b(c+a)x+(c+a)^2=0$ in terms of $\alpha, \beta, $
May 10, 2021
Let $a,b,c\in\mathbb{Z}$, $1<a<10$, $c$ is a prime number and $f(x)=ax^2+bx+c$. If $f(f(1))=f(f(2))=f(f(3))$, find $f'(f(1))+f(f'(2))+f'(f(3))$
May 10, 2021
For what $a$ and $b$ are there explicit expressions for $I(a, b) =\int_0^1 \int_0^1 \dfrac{dx\,dy}{1-x^ay^b} $?
May 10, 2021
Prove the roots of $z^7+7z^4+4z+1=0$ lie inside a circle of radius $2$.
May 10, 2021
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