can all parablas be expressed in factered form
(explain with examples)
thank-you
You're from Canada? Then you should know that it's "parabola" and "factor."
It depends on what you want. You can always put a parabola into the vertex form:
$\displaystyle y = a(x - h)^2 + k$
if you would consider that factored.
However, if you are given $\displaystyle y = ax^2 + bx + c$, where a, b, and c are integers, and want to write it as $\displaystyle y = (dx + e)(fx + g)$
then the answer is, in general, no if you are talking about integer d, e, f, and g.
Ex:
$\displaystyle y = x^2 + x + 1$
There are not even any real numbers d, e, f, and g such that the right hand side factors.
-Dan