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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 __________________.

 Feb 19, 2019
edited by GAMEMASTERX40  Feb 19, 2019
edited by GAMEMASTERX40  Feb 19, 2019
 #1
avatar+4434 
+2

\(p(x) = 6x^3 + 31x^2 + 4x-5\\ p(-5)=0 \Rightarrow (x+5) \text{ is a factor}\)

 

\(\dfrac{p(x)}{x+5} = 6 x^2+x-1\\ \text{we can factor this by eye}\\ 6 x^2+x-1 = (3x-1 )(2x +1)\\ p(x) = (3x-1)(2x+1)(x+5)\\ \text{with zeros at }x = \dfrac 1 3,~-\dfrac 1 2,~-5\)

 

Errr.. what happened... Did you completely change the question?

.
 Feb 19, 2019
edited by Rom  Feb 19, 2019
 #2
avatar+1674 
+1

Yeah... Sorry, it was the wrong one!

Maybe you can help me with this new one?

GAMEMASTERX40  Feb 19, 2019
edited by GAMEMASTERX40  Feb 19, 2019
 #3
avatar+98126 
+3

LOL!!!...cruel to make Rom work that hard !!!

 

Focus

 

Directrix

 

 

cool cool cool

CPhill  Feb 19, 2019
 #4
avatar+1674 
+1

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

GAMEMASTERX40  Feb 19, 2019
edited by GAMEMASTERX40  Feb 19, 2019
 #5
avatar+98126 
+2

No big deal....I'm sure Rom has worked harder than that at some point in his existence.....

 

 

cool cool cool

CPhill  Feb 19, 2019

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