• Member for 7 years, 9 months
  • Last seen more than a month ago
  • Portland, OR
Factoring quadratics where the coefficient on the $x^2$ term does not equal 1
13 votes

Quadratic Formula (deterministic---no guess and check about it) The QF yields that $-{\frac13}$ and $5$ are roots. So $$3x^2-14x-5=c\left(x+\frac13\right)(x-5)$$ Comparing leading coefficients, $c$ ...

View answer
Regarding AMATYC's draft position statement on the academic preparation of mathematics faculty at two-year colleges
Accepted answer
7 votes

After writing an email, I received a response from Ernie Danforth, the NE regional vice president of AMATYC which answer my question. Keep in mind these are GUIDELINES, they are not hard and fast ...

View answer
How to convince students of the integral identity $\int_0^af(x)dx=\int_0^af(a-x)dx$?
2 votes

In $\int_0^af(x)\,dx$, the inputs to $f$ begin at $0$ and progress to $a$. In $\int_0^af(a-x)\,dx$, the inputs to $f$ begin at $a$ and progress to $0$. So when considering Riemann sums with uniform-...

View answer