Write a polynomial function in factored form with zeros at −2, 5, and 6.

1 answer:

3 0

The root -2 leads to the factor (x+2). The other 2 factors are (x-5) and (x-6).

Then the poly is f(x) = (x+2)(x-5)(x-6).

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The best way to do this is to draw a picture of ΔFKL and include line segment KM that is perpendicular to FL. This creates ΔFKM which is a 45°-45°-90° triangle and ΔLKM which is a 30°-60°-90° triangle.

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ΔFKM (45°-45°-90°): FK is the hypotenuse so FM = $\frac{a}{\sqrt{2}} = \frac{a\sqrt{2} }{2}$

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ΔLKM (30°-60°-90°): from ΔFKM, we know that KM = $\frac{a\sqrt{2} }{2}$ , so KL = $\frac{a}{\sqrt{6}} = \frac{a\sqrt{6} }{6}$

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