I need to determine if this statement is true or false: For each non-zero integer x, there is a negative rational number y such that $x = \frac{3}{6y+4}$....

A 3rd degree polynomial has roots at x=-2i and x=5. The y-intercept is (0,25). Write an equation for this function in factored form with real coefficients...

A text I'm looking at has the following definition of an ordered field: DEFINITION A field ($F$, $+$, $\cdot$) is ordered iff there is a relation $\l...

It's weird I'm still confused about this, but usually when we figure out the period of a sine wave from its graph, it's in radians. But the...

I know that they exist for exponential functions (we currently have them in class), but to me it doesn't seem "reasonable" when I look at the definit...

I need to find minimal polynomial of $\alpha = \sqrt 2 + \sqrt [3] 3 $ over $\mathbb Q$ and prove that my result is minimal polynomial. How do I do that?

The question is: $$\sum_{i=1}^n (i^2+3i+4)$$ I get that $$\sum_{i=1}^n i^2 = \frac{n(n+1)(n+2)}{6}$$ and $$3\sum_{i=1}^n i = \frac{3n(n+1)}{2}$$ so one wo...

I was wondering how one would proceed to convert between coordinate systems in $ \mathbb R^n $. For $ \mathbb R^2 $ the conversion is easy and just basic ...

I have problems with the following proof: $$ \forall x \exists y (Rxy \land Py), \forall x \neg Rxx \vdash \neg \forall x \forall y (Px \implies (Py \impl...

This question made me realize I had a misconception about the cyclotomic integers: I thought the units were exactly the roots of unity. There are only fin...