1.) Complete the Sentence: A parabola is the set of all points in a plane equidistant from a fixed point
called the _________________ and a fixed line called the __________________.
\(p(x) = 6x^3 + 31x^2 + 4x-5\\ p(-5)=0 \Rightarrow (x+5) \text{ is a factor}\)
\(\dfrac{p(x)}{x+5} = 6 x^2+x-1\\ \text{we can factor this by eye}\\ 6 x^2+x-1 = (3x-1 )(2x +1)\\ p(x) = (3x-1)(2x+1)(x+5)\\ \text{with zeros at }x = \dfrac 1 3,~-\dfrac 1 2,~-5\)
Errr.. what happened... Did you completely change the question?
.Yeah... Sorry, it was the wrong one!
Maybe you can help me with this new one?
I'm so sorry! It was too late when I realized it was the wrong problem LOL!
Thanks, CPhill for the real solution!
-- 7H3_5H4D0W