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# 1.) Complete the Sentence:

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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

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

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

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

.
Feb 19, 2019
edited by Rom  Feb 19, 2019
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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
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LOL!!!...cruel to make Rom work that hard !!!

Focus

Directrix

CPhill  Feb 19, 2019
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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
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No big deal....I'm sure Rom has worked harder than that at some point in his existence.....

CPhill  Feb 19, 2019