# Math Help - Create a polynomial function with certain characteristics

1. ## Create a polynomial function with certain characteristics

Design a polynomial function with the following characteristics. Show work.

• degree of 6
• four real zeros
• one real zero of multiplicity of 3
• y-intercept at 3
• behaves like $f(x) = -5x^6$ for large values of $|x|$ (end behavior)
I was able to create a polynomial function by just multiplying $-(x-3)(x-3)(x+1)(x-1)(x+2)(x-2)$ but I can't make it to where the y-intercept is at 3. Got any ideas?

2. NVM...I got. I made a stupid mistake.