The picture above shows the graph of a polynomial function () = 4 − 3 − 52 − − 6 A. Based on the graph, what are the real roots? Explain.
B. How do you know that those are not the only roots?
C. Use synthetic division and the art of factoring to find the complex roots of the polynomial.

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step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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