Question

will someone check my answer on this problem? i will give a medal and become a fan!

Answer 1

\[y=\frac{ 1 }{ 5 }(x-3)(x+1)(x+4)^2\] is the answer i got

Answer 2

I see what you are trying to do, however you missed the idea of the root. A root of a polynomial represents when a factor equals zero. For example, if a polynomial had a root at one, the factor is x MINUS 1. This is because at x=1, that factor now equals 0. your factors are simply subtracting the root itself from x, which is not correct. You idea about multiplicity are correct, i.e. the "bouncing" root represents a factor that is squared. Essentially, your signs are switched :P, but I wanted you to see why.

Answer 3

thanks so much for your time and i depth answer... so all i have to do is switch the signs and the answer is correct?

Answer 4

yes. I really hope you understand the reason though.

Answer 5

*in depth

Answer 6

i do i just wanted to make sure that i didnt mess up any other parts! thanks!