Question

Construct a polynomial function?

Answer 1

First, here is the existing map of current structures. It is important that the rollercoaster does not go through the foundation of any of these structures.

1st point: ___6___
2nd point:___-2___
3rd point: ___-7___

1)Using the points above as zeros, construct the polynomial function, f(x), that will be the path of your rollercoaster. Show all of your work.

Answer 2

@jdoe0001 @jim_thompson5910 @AllTehMaffs Can someone help me please?

Answer 3

ok so in short
you're being asked "what is the polynomial whose roots are 6, -2, -7"

Answer 4

\(\bf x=6\implies x-6=0\implies {\color{blue}{ (x-6)}}=0
\\ \quad \\
x=-2\implies x+2=0\implies {\color{blue}{ (x+2)}}=0
\\ \quad \\
x=-7\implies x+7=0\implies {\color{blue}{ (x+7)}}=0
\\ \quad \\
{\color{blue}{ (x-6)}}{\color{blue}{ (x+2)}}{\color{blue}{ (x+7)}}=0\implies
\\ \quad \\
\implies {\color{blue}{ (x-6)}}{\color{blue}{ (x+2)}}{\color{blue}{ (x+7)}}=\textit{original polynomial}\)