New posts in algebra-precalculus

Why do we automatically assume that when we divide a polynomial by a second degree polynomial the remainder is linear?

Proof with 3D vectors

Number of equivalence relations on a set

If you take the reciprocal in an inequality, would it change the $>/< $ signs?

Simplifying $\sqrt{5+2\sqrt{5+2\sqrt{5+2\sqrt {5 +\cdots}}}}$

What are better approximations to $\pi$ as algebraic though irrational number?

Process to show that $\sqrt 2+\sqrt[3] 3$ is irrational

Is Vieta the only way out?

Counting number of students who have failed in all four subjects

Is "ln" (natural log) and "log" the same thing if used in this answer?

Prove a number is composite

Proving that $\frac{n+1}{2n+3}$ and $\frac{3n-5}{4n-7}$ are irreducible for all $n$

Show that the numerator of $1+\frac12 +\frac13 +\cdots +\frac1{96}$ is divisible by $97$

If $2^x=0$, find $x$.

How do I find an integer value for which an expression is non-prime?

How to solve the inequality $x^2>10$ using square roots?

Is $1111111111111111111111111111111111111111111111111111111$ ($55$ $1$'s) a composite number?

Proving that $\frac{1}{\sqrt{1}} + \frac{1}{\sqrt{2}} + \cdots + \frac{1}{\sqrt{100}} < 20$

Given $P(x)=x^{4}-4x^{3}+12x^{2}-24x+24,$ then $P(x)=|P(x)|$ for all real $x$

Meaning of $\frac{x-y}{y}$ versus $\frac{x}{y}-1$