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inysia [295]
4 years ago
15

Find a cubic function with the given zeros. 7, -3, 2

Mathematics
1 answer:
Bess [88]4 years ago
7 0
X = 7, -3, 2
(x - 7)(x + 3)(x - 2) = 0
(x - 7)(x^2 + x - 6) = 0
x^3 - 6x^2 - 13x + 42 = 0
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The vertex (h, k) is (4, 12) and the point (5, 21) is on the graph.  Assuming that this is a vertical parabola, opening up (because the coordinate 21 is greater than the coordinate 12), we insert the knowns into  y - k = a(x - h)^2, obtaining

21 - 12 = a(5 - 4), or  9 = a.  With a known, we can write the desired equation:

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