Question

1st point: ___6___ 2nd point:___-2___ 3rd point: ___-7___ Using the points above as zeros, construct the polynomial function, f(x), that will be the path of your roller coaster. Show all of your work.

Answer 1

since the points roots of the polynomail then:
\[x=6 --->(x-6)=0\]
\[x=-2--->(x+2)=0\]
\[x=-7--->(x+7)=0\]
now multpilt these equations
\[(x-6)(x+2)(x+7)\]
\[(x ^{2}-4x-12)(x+7)\]
\[x ^{3}+3x ^{2}-26x-84\]

Answer 2

Thank you so much!