Create a polynomial function with certain characteristics

**chrozer** · November 2nd 2008, 03:42 AM

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?

**chrozer** · November 2nd 2008, 06:00 AM

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

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