Posted by **kelly** on Tuesday, September 10, 2013 at 10:08pm.

find a possible polynomial equation of degree 4 if the zeroes are -1,2, and 5, the graph touches the x-axis at -1 but does not cross through, and the y intercept is -5

- Pre-calc -
**Reiny**, Wednesday, September 11, 2013 at 7:44am
there must be double root at x = -1

so it must be

y = a(x-2)(x-5)(x+1)^2

also we know (0,-5) lies on it, so

-5 = (-2)(-5)(1)

-5 = 10a

a = -1/2

with your information there is a unique polynomial of

y = (-1/2)(x-2)(x-5)(x+1)^2

expand if need be.

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